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Finding the Fourth Proportional to 2,385.68, 3,578.52 and 1,087.52

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Solution

The fourth proportional to 2,385.68, 3,578.52 and 1,087.52 is: 1,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.68 : 3,578.52 = 1,087.52 : x
  2. Step 2: Convert to fraction form
    2,385.68/3,578.52 = 1,087.52/x
  3. Step 3: Cross multiply
    2,385.68x = 3,578.52 × 1,087.52
  4. Step 4: Simplify right side
    2,385.68x = 3,891,712.07
  5. Step 5: Solve for x
    x = 3,891,712.07/2,385.68
  6. Step 6: Final answer
    x = 1,631.28

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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.