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Finding the Fourth Proportional to 2,755.74, 3,802.93 and 1,496.80

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Solution

The fourth proportional to 2,755.74, 3,802.93 and 1,496.80 is: 2,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.74 : 3,802.93 = 1,496.80 : x
  2. Step 2: Convert to fraction form
    2,755.74/3,802.93 = 1,496.80/x
  3. Step 3: Cross multiply
    2,755.74x = 3,802.93 × 1,496.80
  4. Step 4: Simplify right side
    2,755.74x = 5,692,225.62
  5. Step 5: Solve for x
    x = 5,692,225.62/2,755.74
  6. Step 6: Final answer
    x = 2,065.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.