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Finding the Fourth Proportional to 2,108.47, 2,909.46 and 1,224.13

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Solution

The fourth proportional to 2,108.47, 2,909.46 and 1,224.13 is: 1,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.47 : 2,909.46 = 1,224.13 : x
  2. Step 2: Convert to fraction form
    2,108.47/2,909.46 = 1,224.13/x
  3. Step 3: Cross multiply
    2,108.47x = 2,909.46 × 1,224.13
  4. Step 4: Simplify right side
    2,108.47x = 3,561,557.27
  5. Step 5: Solve for x
    x = 3,561,557.27/2,108.47
  6. Step 6: Final answer
    x = 1,689.17

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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.