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Finding the Fourth Proportional to 3,440.84, 5,161.26 and 1,493

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Solution

The fourth proportional to 3,440.84, 5,161.26 and 1,493 is: 2,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.84 : 5,161.26 = 1,493 : x
  2. Step 2: Convert to fraction form
    3,440.84/5,161.26 = 1,493/x
  3. Step 3: Cross multiply
    3,440.84x = 5,161.26 × 1,493
  4. Step 4: Simplify right side
    3,440.84x = 7,705,761.18
  5. Step 5: Solve for x
    x = 7,705,761.18/3,440.84
  6. Step 6: Final answer
    x = 2,239.50

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Half scale
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Double scale
Find fourth proportional to 3,441.84, 5,162.76 and 1,494
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.