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Finding the Fourth Proportional to 2,520.76, 3,781.25 and 877.27

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Solution

The fourth proportional to 2,520.76, 3,781.25 and 877.27 is: 1,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.76 : 3,781.25 = 877.27 : x
  2. Step 2: Convert to fraction form
    2,520.76/3,781.25 = 877.27/x
  3. Step 3: Cross multiply
    2,520.76x = 3,781.25 × 877.27
  4. Step 4: Simplify right side
    2,520.76x = 3,317,177.19
  5. Step 5: Solve for x
    x = 3,317,177.19/2,520.76
  6. Step 6: Final answer
    x = 1,315.94

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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.