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Finding the Fourth Proportional to 2,562.33, 3,842.74 and 1,101.14

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Solution

The fourth proportional to 2,562.33, 3,842.74 and 1,101.14 is: 1,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.33 : 3,842.74 = 1,101.14 : x
  2. Step 2: Convert to fraction form
    2,562.33/3,842.74 = 1,101.14/x
  3. Step 3: Cross multiply
    2,562.33x = 3,842.74 × 1,101.14
  4. Step 4: Simplify right side
    2,562.33x = 4,231,389.22
  5. Step 5: Solve for x
    x = 4,231,389.22/2,562.33
  6. Step 6: Final answer
    x = 1,651.38

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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.