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Finding the Fourth Proportional to 2,517.47, 3,776.54 and 874.15

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Solution

The fourth proportional to 2,517.47, 3,776.54 and 874.15 is: 1,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.47 : 3,776.54 = 874.15 : x
  2. Step 2: Convert to fraction form
    2,517.47/3,776.54 = 874.15/x
  3. Step 3: Cross multiply
    2,517.47x = 3,776.54 × 874.15
  4. Step 4: Simplify right side
    2,517.47x = 3,301,262.44
  5. Step 5: Solve for x
    x = 3,301,262.44/2,517.47
  6. Step 6: Final answer
    x = 1,311.34

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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.