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Finding the Fourth Proportional to 1,592.71, 2,387.34 and 769.85

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Solution

The fourth proportional to 1,592.71, 2,387.34 and 769.85 is: 1,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.71 : 2,387.34 = 769.85 : x
  2. Step 2: Convert to fraction form
    1,592.71/2,387.34 = 769.85/x
  3. Step 3: Cross multiply
    1,592.71x = 2,387.34 × 769.85
  4. Step 4: Simplify right side
    1,592.71x = 1,837,893.70
  5. Step 5: Solve for x
    x = 1,837,893.70/1,592.71
  6. Step 6: Final answer
    x = 1,153.94

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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.