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Finding the Fourth Proportional to 1,591.63, 2,385.72 and 667.69

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Solution

The fourth proportional to 1,591.63, 2,385.72 and 667.69 is: 1,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.63 : 2,385.72 = 667.69 : x
  2. Step 2: Convert to fraction form
    1,591.63/2,385.72 = 667.69/x
  3. Step 3: Cross multiply
    1,591.63x = 2,385.72 × 667.69
  4. Step 4: Simplify right side
    1,591.63x = 1,592,915.42
  5. Step 5: Solve for x
    x = 1,592,915.42/1,591.63
  6. Step 6: Final answer
    x = 1,000.81

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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.