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Finding the Fourth Proportional to 2,562.36, 3,841.27 and 1,001.27

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Solution

The fourth proportional to 2,562.36, 3,841.27 and 1,001.27 is: 1,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.36 : 3,841.27 = 1,001.27 : x
  2. Step 2: Convert to fraction form
    2,562.36/3,841.27 = 1,001.27/x
  3. Step 3: Cross multiply
    2,562.36x = 3,841.27 × 1,001.27
  4. Step 4: Simplify right side
    2,562.36x = 3,846,148.41
  5. Step 5: Solve for x
    x = 3,846,148.41/2,562.36
  6. Step 6: Final answer
    x = 1,501.02

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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.