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Finding the Fourth Proportional to 2,218.71, 3,061.78 and 1,224.02

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Solution

The fourth proportional to 2,218.71, 3,061.78 and 1,224.02 is: 1,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.71 : 3,061.78 = 1,224.02 : x
  2. Step 2: Convert to fraction form
    2,218.71/3,061.78 = 1,224.02/x
  3. Step 3: Cross multiply
    2,218.71x = 3,061.78 × 1,224.02
  4. Step 4: Simplify right side
    2,218.71x = 3,747,679.96
  5. Step 5: Solve for x
    x = 3,747,679.96/2,218.71
  6. Step 6: Final answer
    x = 1,689.13

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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.