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Finding the Fourth Proportional to 2,607.62, 3,912.23 and 876.10

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Solution

The fourth proportional to 2,607.62, 3,912.23 and 876.10 is: 1,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.62 : 3,912.23 = 876.10 : x
  2. Step 2: Convert to fraction form
    2,607.62/3,912.23 = 876.10/x
  3. Step 3: Cross multiply
    2,607.62x = 3,912.23 × 876.10
  4. Step 4: Simplify right side
    2,607.62x = 3,427,504.70
  5. Step 5: Solve for x
    x = 3,427,504.70/2,607.62
  6. Step 6: Final answer
    x = 1,314.42

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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.