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Finding the Fourth Proportional to 2,417.86, 3,627.11 and 773.83

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Solution

The fourth proportional to 2,417.86, 3,627.11 and 773.83 is: 1,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.86 : 3,627.11 = 773.83 : x
  2. Step 2: Convert to fraction form
    2,417.86/3,627.11 = 773.83/x
  3. Step 3: Cross multiply
    2,417.86x = 3,627.11 × 773.83
  4. Step 4: Simplify right side
    2,417.86x = 2,806,766.53
  5. Step 5: Solve for x
    x = 2,806,766.53/2,417.86
  6. Step 6: Final answer
    x = 1,160.85

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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.