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Finding the Fourth Proportional to 1,835.32, 2,753.14 and 519.10

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Solution

The fourth proportional to 1,835.32, 2,753.14 and 519.10 is: 778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.32 : 2,753.14 = 519.10 : x
  2. Step 2: Convert to fraction form
    1,835.32/2,753.14 = 519.10/x
  3. Step 3: Cross multiply
    1,835.32x = 2,753.14 × 519.10
  4. Step 4: Simplify right side
    1,835.32x = 1,429,154.97
  5. Step 5: Solve for x
    x = 1,429,154.97/1,835.32
  6. Step 6: Final answer
    x = 778.70

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