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Finding the Fourth Proportional to 1,317.92, 1,818.05 and 1,224.14

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Solution

The fourth proportional to 1,317.92, 1,818.05 and 1,224.14 is: 1,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.92 : 1,818.05 = 1,224.14 : x
  2. Step 2: Convert to fraction form
    1,317.92/1,818.05 = 1,224.14/x
  3. Step 3: Cross multiply
    1,317.92x = 1,818.05 × 1,224.14
  4. Step 4: Simplify right side
    1,317.92x = 2,225,532.52
  5. Step 5: Solve for x
    x = 2,225,532.52/1,317.92
  6. Step 6: Final answer
    x = 1,688.68

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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.