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Finding the Fourth Proportional to 2,473.84, 3,711.30 and 914.32

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Solution

The fourth proportional to 2,473.84, 3,711.30 and 914.32 is: 1,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.84 : 3,711.30 = 914.32 : x
  2. Step 2: Convert to fraction form
    2,473.84/3,711.30 = 914.32/x
  3. Step 3: Cross multiply
    2,473.84x = 3,711.30 × 914.32
  4. Step 4: Simplify right side
    2,473.84x = 3,393,315.82
  5. Step 5: Solve for x
    x = 3,393,315.82/2,473.84
  6. Step 6: Final answer
    x = 1,371.68

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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.