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Finding the Fourth Proportional to 2,218.78, 3,062.07 and 1,224.16

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Solution

The fourth proportional to 2,218.78, 3,062.07 and 1,224.16 is: 1,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.78 : 3,062.07 = 1,224.16 : x
  2. Step 2: Convert to fraction form
    2,218.78/3,062.07 = 1,224.16/x
  3. Step 3: Cross multiply
    2,218.78x = 3,062.07 × 1,224.16
  4. Step 4: Simplify right side
    2,218.78x = 3,748,463.61
  5. Step 5: Solve for x
    x = 3,748,463.61/2,218.78
  6. Step 6: Final answer
    x = 1,689.43

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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.