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Finding the Fourth Proportional to 2,641.55, 3,963.15 and 792.72

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Solution

The fourth proportional to 2,641.55, 3,963.15 and 792.72 is: 1,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.55 : 3,963.15 = 792.72 : x
  2. Step 2: Convert to fraction form
    2,641.55/3,963.15 = 792.72/x
  3. Step 3: Cross multiply
    2,641.55x = 3,963.15 × 792.72
  4. Step 4: Simplify right side
    2,641.55x = 3,141,668.27
  5. Step 5: Solve for x
    x = 3,141,668.27/2,641.55
  6. Step 6: Final answer
    x = 1,189.33

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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.