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Finding the Fourth Proportional to 2,562.05, 3,842.87 and 1,001.75

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Solution

The fourth proportional to 2,562.05, 3,842.87 and 1,001.75 is: 1,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.05 : 3,842.87 = 1,001.75 : x
  2. Step 2: Convert to fraction form
    2,562.05/3,842.87 = 1,001.75/x
  3. Step 3: Cross multiply
    2,562.05x = 3,842.87 × 1,001.75
  4. Step 4: Simplify right side
    2,562.05x = 3,849,599.62
  5. Step 5: Solve for x
    x = 3,849,599.62/2,562.05
  6. Step 6: Final answer
    x = 1,502.55

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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.