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Finding the Fourth Proportional to 2,218.76, 3,061.86 and 1,224.02

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Solution

The fourth proportional to 2,218.76, 3,061.86 and 1,224.02 is: 1,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.76 : 3,061.86 = 1,224.02 : x
  2. Step 2: Convert to fraction form
    2,218.76/3,061.86 = 1,224.02/x
  3. Step 3: Cross multiply
    2,218.76x = 3,061.86 × 1,224.02
  4. Step 4: Simplify right side
    2,218.76x = 3,747,762.57
  5. Step 5: Solve for x
    x = 3,747,762.57/2,218.76
  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.