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Finding the Fourth Proportional to 2,702.76, 4,032.03 and 2,578.92

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Solution

The fourth proportional to 2,702.76, 4,032.03 and 2,578.92 is: 3,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.76 : 4,032.03 = 2,578.92 : x
  2. Step 2: Convert to fraction form
    2,702.76/4,032.03 = 2,578.92/x
  3. Step 3: Cross multiply
    2,702.76x = 4,032.03 × 2,578.92
  4. Step 4: Simplify right side
    2,702.76x = 10,398,282.81
  5. Step 5: Solve for x
    x = 10,398,282.81/2,702.76
  6. Step 6: Final answer
    x = 3,847.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.