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Finding the Fourth Proportional to 2,677.56, 4,013.52 and 922.02

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Solution

The fourth proportional to 2,677.56, 4,013.52 and 922.02 is: 1,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.56 : 4,013.52 = 922.02 : x
  2. Step 2: Convert to fraction form
    2,677.56/4,013.52 = 922.02/x
  3. Step 3: Cross multiply
    2,677.56x = 4,013.52 × 922.02
  4. Step 4: Simplify right side
    2,677.56x = 3,700,545.71
  5. Step 5: Solve for x
    x = 3,700,545.71/2,677.56
  6. Step 6: Final answer
    x = 1,382.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.