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Finding the Fourth Proportional to 2,385.25, 3,578.72 and 1,068.90

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Solution

The fourth proportional to 2,385.25, 3,578.72 and 1,068.90 is: 1,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.25 : 3,578.72 = 1,068.90 : x
  2. Step 2: Convert to fraction form
    2,385.25/3,578.72 = 1,068.90/x
  3. Step 3: Cross multiply
    2,385.25x = 3,578.72 × 1,068.90
  4. Step 4: Simplify right side
    2,385.25x = 3,825,293.81
  5. Step 5: Solve for x
    x = 3,825,293.81/2,385.25
  6. Step 6: Final answer
    x = 1,603.73

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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.