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Finding the Fourth Proportional to 2,570.13, 3,854.59 and 721.42

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Solution

The fourth proportional to 2,570.13, 3,854.59 and 721.42 is: 1,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.13 : 3,854.59 = 721.42 : x
  2. Step 2: Convert to fraction form
    2,570.13/3,854.59 = 721.42/x
  3. Step 3: Cross multiply
    2,570.13x = 3,854.59 × 721.42
  4. Step 4: Simplify right side
    2,570.13x = 2,780,778.32
  5. Step 5: Solve for x
    x = 2,780,778.32/2,570.13
  6. Step 6: Final answer
    x = 1,081.96

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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.