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Finding the Fourth Proportional to 1,842.18, 2,761.14 and 745.83

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Solution

The fourth proportional to 1,842.18, 2,761.14 and 745.83 is: 1,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.18 : 2,761.14 = 745.83 : x
  2. Step 2: Convert to fraction form
    1,842.18/2,761.14 = 745.83/x
  3. Step 3: Cross multiply
    1,842.18x = 2,761.14 × 745.83
  4. Step 4: Simplify right side
    1,842.18x = 2,059,341.05
  5. Step 5: Solve for x
    x = 2,059,341.05/1,842.18
  6. Step 6: Final answer
    x = 1,117.88

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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.