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Finding the Fourth Proportional to 2,502.88, 3,753.42 and 858.99

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Solution

The fourth proportional to 2,502.88, 3,753.42 and 858.99 is: 1,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.88 : 3,753.42 = 858.99 : x
  2. Step 2: Convert to fraction form
    2,502.88/3,753.42 = 858.99/x
  3. Step 3: Cross multiply
    2,502.88x = 3,753.42 × 858.99
  4. Step 4: Simplify right side
    2,502.88x = 3,224,150.25
  5. Step 5: Solve for x
    x = 3,224,150.25/2,502.88
  6. Step 6: Final answer
    x = 1,288.18

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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.