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Finding the Fourth Proportional to 3,191.60, 4,787.36 and 1,000.50

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Solution

The fourth proportional to 3,191.60, 4,787.36 and 1,000.50 is: 1,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.60 : 4,787.36 = 1,000.50 : x
  2. Step 2: Convert to fraction form
    3,191.60/4,787.36 = 1,000.50/x
  3. Step 3: Cross multiply
    3,191.60x = 4,787.36 × 1,000.50
  4. Step 4: Simplify right side
    3,191.60x = 4,789,753.68
  5. Step 5: Solve for x
    x = 4,789,753.68/3,191.60
  6. Step 6: Final answer
    x = 1,500.74

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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.