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Finding the Fourth Proportional to 1,591.92, 2,385.38 and 758.02

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Solution

The fourth proportional to 1,591.92, 2,385.38 and 758.02 is: 1,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.92 : 2,385.38 = 758.02 : x
  2. Step 2: Convert to fraction form
    1,591.92/2,385.38 = 758.02/x
  3. Step 3: Cross multiply
    1,591.92x = 2,385.38 × 758.02
  4. Step 4: Simplify right side
    1,591.92x = 1,808,165.75
  5. Step 5: Solve for x
    x = 1,808,165.75/1,591.92
  6. Step 6: Final answer
    x = 1,135.84

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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.