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Finding the Fourth Proportional to 3,294.17, 4,545.36 and 1,877.78

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Solution

The fourth proportional to 3,294.17, 4,545.36 and 1,877.78 is: 2,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.17 : 4,545.36 = 1,877.78 : x
  2. Step 2: Convert to fraction form
    3,294.17/4,545.36 = 1,877.78/x
  3. Step 3: Cross multiply
    3,294.17x = 4,545.36 × 1,877.78
  4. Step 4: Simplify right side
    3,294.17x = 8,535,186.10
  5. Step 5: Solve for x
    x = 8,535,186.10/3,294.17
  6. Step 6: Final answer
    x = 2,591.00

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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.