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Finding the Fourth Proportional to 1,578.69, 2,363.31 and 1,138.95

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Solution

The fourth proportional to 1,578.69, 2,363.31 and 1,138.95 is: 1,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.69 : 2,363.31 = 1,138.95 : x
  2. Step 2: Convert to fraction form
    1,578.69/2,363.31 = 1,138.95/x
  3. Step 3: Cross multiply
    1,578.69x = 2,363.31 × 1,138.95
  4. Step 4: Simplify right side
    1,578.69x = 2,691,691.92
  5. Step 5: Solve for x
    x = 2,691,691.92/1,578.69
  6. Step 6: Final answer
    x = 1,705.02

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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.