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Finding the Fourth Proportional to 2,631.55, 3,947.55 and 876.18

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Solution

The fourth proportional to 2,631.55, 3,947.55 and 876.18 is: 1,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.55 : 3,947.55 = 876.18 : x
  2. Step 2: Convert to fraction form
    2,631.55/3,947.55 = 876.18/x
  3. Step 3: Cross multiply
    2,631.55x = 3,947.55 × 876.18
  4. Step 4: Simplify right side
    2,631.55x = 3,458,764.36
  5. Step 5: Solve for x
    x = 3,458,764.36/2,631.55
  6. Step 6: Final answer
    x = 1,314.34

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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.