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Finding the Fourth Proportional to 2,631.84, 3,947.26 and 876.58

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Solution

The fourth proportional to 2,631.84, 3,947.26 and 876.58 is: 1,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.84 : 3,947.26 = 876.58 : x
  2. Step 2: Convert to fraction form
    2,631.84/3,947.26 = 876.58/x
  3. Step 3: Cross multiply
    2,631.84x = 3,947.26 × 876.58
  4. Step 4: Simplify right side
    2,631.84x = 3,460,089.17
  5. Step 5: Solve for x
    x = 3,460,089.17/2,631.84
  6. Step 6: Final answer
    x = 1,314.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.