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Finding the Fourth Proportional to 2,575.89, 3,861.24 and 1,017.00

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Solution

The fourth proportional to 2,575.89, 3,861.24 and 1,017.00 is: 1,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.89 : 3,861.24 = 1,017.00 : x
  2. Step 2: Convert to fraction form
    2,575.89/3,861.24 = 1,017.00/x
  3. Step 3: Cross multiply
    2,575.89x = 3,861.24 × 1,017.00
  4. Step 4: Simplify right side
    2,575.89x = 3,926,876.70
  5. Step 5: Solve for x
    x = 3,926,876.70/2,575.89
  6. Step 6: Final answer
    x = 1,524.47

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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.