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Finding the Fourth Proportional to 1,591.14, 2,387.23 and 769.51

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Solution

The fourth proportional to 1,591.14, 2,387.23 and 769.51 is: 1,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.14 : 2,387.23 = 769.51 : x
  2. Step 2: Convert to fraction form
    1,591.14/2,387.23 = 769.51/x
  3. Step 3: Cross multiply
    1,591.14x = 2,387.23 × 769.51
  4. Step 4: Simplify right side
    1,591.14x = 1,836,997.36
  5. Step 5: Solve for x
    x = 1,836,997.36/1,591.14
  6. Step 6: Final answer
    x = 1,154.52

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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.