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Finding the Fourth Proportional to 2,617.86, 3,924.15 and 1,156.76

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Solution

The fourth proportional to 2,617.86, 3,924.15 and 1,156.76 is: 1,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.86 : 3,924.15 = 1,156.76 : x
  2. Step 2: Convert to fraction form
    2,617.86/3,924.15 = 1,156.76/x
  3. Step 3: Cross multiply
    2,617.86x = 3,924.15 × 1,156.76
  4. Step 4: Simplify right side
    2,617.86x = 4,539,299.75
  5. Step 5: Solve for x
    x = 4,539,299.75/2,617.86
  6. Step 6: Final answer
    x = 1,733.97

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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.