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Finding the Fourth Proportional to 2,573.72, 3,860.56 and 724.84

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Solution

The fourth proportional to 2,573.72, 3,860.56 and 724.84 is: 1,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.72 : 3,860.56 = 724.84 : x
  2. Step 2: Convert to fraction form
    2,573.72/3,860.56 = 724.84/x
  3. Step 3: Cross multiply
    2,573.72x = 3,860.56 × 724.84
  4. Step 4: Simplify right side
    2,573.72x = 2,798,276.85
  5. Step 5: Solve for x
    x = 2,798,276.85/2,573.72
  6. Step 6: Final answer
    x = 1,087.25

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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.