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Finding the Fourth Proportional to 1,842.80, 2,544.42 and 1,253.12

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Solution

The fourth proportional to 1,842.80, 2,544.42 and 1,253.12 is: 1,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.80 : 2,544.42 = 1,253.12 : x
  2. Step 2: Convert to fraction form
    1,842.80/2,544.42 = 1,253.12/x
  3. Step 3: Cross multiply
    1,842.80x = 2,544.42 × 1,253.12
  4. Step 4: Simplify right side
    1,842.80x = 3,188,463.59
  5. Step 5: Solve for x
    x = 3,188,463.59/1,842.80
  6. Step 6: Final answer
    x = 1,730.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.