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Finding the Fourth Proportional to 2,572.99, 3,859 and 1,255.42

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Solution

The fourth proportional to 2,572.99, 3,859 and 1,255.42 is: 1,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.99 : 3,859 = 1,255.42 : x
  2. Step 2: Convert to fraction form
    2,572.99/3,859 = 1,255.42/x
  3. Step 3: Cross multiply
    2,572.99x = 3,859 × 1,255.42
  4. Step 4: Simplify right side
    2,572.99x = 4,844,665.78
  5. Step 5: Solve for x
    x = 4,844,665.78/2,572.99
  6. Step 6: Final answer
    x = 1,882.89

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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.