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Finding the Fourth Proportional to 1,813.17, 2,500.57 and 1,224.50

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Solution

The fourth proportional to 1,813.17, 2,500.57 and 1,224.50 is: 1,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.17 : 2,500.57 = 1,224.50 : x
  2. Step 2: Convert to fraction form
    1,813.17/2,500.57 = 1,224.50/x
  3. Step 3: Cross multiply
    1,813.17x = 2,500.57 × 1,224.50
  4. Step 4: Simplify right side
    1,813.17x = 3,061,951.16
  5. Step 5: Solve for x
    x = 3,061,951.16/1,813.17
  6. Step 6: Final answer
    x = 1,688.73

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