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Finding the Fourth Proportional to 2,520.57, 3,778.43 and 1,288.56

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Solution

The fourth proportional to 2,520.57, 3,778.43 and 1,288.56 is: 1,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.57 : 3,778.43 = 1,288.56 : x
  2. Step 2: Convert to fraction form
    2,520.57/3,778.43 = 1,288.56/x
  3. Step 3: Cross multiply
    2,520.57x = 3,778.43 × 1,288.56
  4. Step 4: Simplify right side
    2,520.57x = 4,868,727.32
  5. Step 5: Solve for x
    x = 4,868,727.32/2,520.57
  6. Step 6: Final answer
    x = 1,931.60

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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.