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Finding the Fourth Proportional to 1,842.56, 2,542.56 and 1,494.08

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Solution

The fourth proportional to 1,842.56, 2,542.56 and 1,494.08 is: 2,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.56 : 2,542.56 = 1,494.08 : x
  2. Step 2: Convert to fraction form
    1,842.56/2,542.56 = 1,494.08/x
  3. Step 3: Cross multiply
    1,842.56x = 2,542.56 × 1,494.08
  4. Step 4: Simplify right side
    1,842.56x = 3,798,788.04
  5. Step 5: Solve for x
    x = 3,798,788.04/1,842.56
  6. Step 6: Final answer
    x = 2,061.69

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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.