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Finding the Fourth Proportional to 1,521.57, 2,278.25 and 789.62

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Solution

The fourth proportional to 1,521.57, 2,278.25 and 789.62 is: 1,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.57 : 2,278.25 = 789.62 : x
  2. Step 2: Convert to fraction form
    1,521.57/2,278.25 = 789.62/x
  3. Step 3: Cross multiply
    1,521.57x = 2,278.25 × 789.62
  4. Step 4: Simplify right side
    1,521.57x = 1,798,936.43
  5. Step 5: Solve for x
    x = 1,798,936.43/1,521.57
  6. Step 6: Final answer
    x = 1,182.29

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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.