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Finding the Fourth Proportional to 1,578.83, 2,366.89 and 1,115.15

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Solution

The fourth proportional to 1,578.83, 2,366.89 and 1,115.15 is: 1,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.83 : 2,366.89 = 1,115.15 : x
  2. Step 2: Convert to fraction form
    1,578.83/2,366.89 = 1,115.15/x
  3. Step 3: Cross multiply
    1,578.83x = 2,366.89 × 1,115.15
  4. Step 4: Simplify right side
    1,578.83x = 2,639,422.76
  5. Step 5: Solve for x
    x = 2,639,422.76/1,578.83
  6. Step 6: Final answer
    x = 1,671.76

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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.