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Finding the Fourth Proportional to 2,761.58, 4,141.76 and 787.17

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Solution

The fourth proportional to 2,761.58, 4,141.76 and 787.17 is: 1,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.58 : 4,141.76 = 787.17 : x
  2. Step 2: Convert to fraction form
    2,761.58/4,141.76 = 787.17/x
  3. Step 3: Cross multiply
    2,761.58x = 4,141.76 × 787.17
  4. Step 4: Simplify right side
    2,761.58x = 3,260,280.81
  5. Step 5: Solve for x
    x = 3,260,280.81/2,761.58
  6. Step 6: Final answer
    x = 1,180.58

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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.