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Finding the Fourth Proportional to 2,561.82, 3,841.70 and 1,001.52

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Solution

The fourth proportional to 2,561.82, 3,841.70 and 1,001.52 is: 1,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.82 : 3,841.70 = 1,001.52 : x
  2. Step 2: Convert to fraction form
    2,561.82/3,841.70 = 1,001.52/x
  3. Step 3: Cross multiply
    2,561.82x = 3,841.70 × 1,001.52
  4. Step 4: Simplify right side
    2,561.82x = 3,847,539.38
  5. Step 5: Solve for x
    x = 3,847,539.38/2,561.82
  6. Step 6: Final answer
    x = 1,501.88

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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.