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Finding the Fourth Proportional to 2,578.96, 3,865.28 and 1,017.40

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Solution

The fourth proportional to 2,578.96, 3,865.28 and 1,017.40 is: 1,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.96 : 3,865.28 = 1,017.40 : x
  2. Step 2: Convert to fraction form
    2,578.96/3,865.28 = 1,017.40/x
  3. Step 3: Cross multiply
    2,578.96x = 3,865.28 × 1,017.40
  4. Step 4: Simplify right side
    2,578.96x = 3,932,535.87
  5. Step 5: Solve for x
    x = 3,932,535.87/2,578.96
  6. Step 6: Final answer
    x = 1,524.85

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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.