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Finding the Fourth Proportional to 2,630.17, 3,943.90 and 874.54

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Solution

The fourth proportional to 2,630.17, 3,943.90 and 874.54 is: 1,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.17 : 3,943.90 = 874.54 : x
  2. Step 2: Convert to fraction form
    2,630.17/3,943.90 = 874.54/x
  3. Step 3: Cross multiply
    2,630.17x = 3,943.90 × 874.54
  4. Step 4: Simplify right side
    2,630.17x = 3,449,098.31
  5. Step 5: Solve for x
    x = 3,449,098.31/2,630.17
  6. Step 6: Final answer
    x = 1,311.36

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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.