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Finding the Fourth Proportional to 1,842.22, 2,542.80 and 1,471.78

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Solution

The fourth proportional to 1,842.22, 2,542.80 and 1,471.78 is: 2,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.22 : 2,542.80 = 1,471.78 : x
  2. Step 2: Convert to fraction form
    1,842.22/2,542.80 = 1,471.78/x
  3. Step 3: Cross multiply
    1,842.22x = 2,542.80 × 1,471.78
  4. Step 4: Simplify right side
    1,842.22x = 3,742,442.18
  5. Step 5: Solve for x
    x = 3,742,442.18/1,842.22
  6. Step 6: Final answer
    x = 2,031.48

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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.