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Finding the Fourth Proportional to 2,761.48, 4,142.21 and 1,119.18

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Solution

The fourth proportional to 2,761.48, 4,142.21 and 1,119.18 is: 1,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.48 : 4,142.21 = 1,119.18 : x
  2. Step 2: Convert to fraction form
    2,761.48/4,142.21 = 1,119.18/x
  3. Step 3: Cross multiply
    2,761.48x = 4,142.21 × 1,119.18
  4. Step 4: Simplify right side
    2,761.48x = 4,635,897.97
  5. Step 5: Solve for x
    x = 4,635,897.97/2,761.48
  6. Step 6: Final answer
    x = 1,678.77

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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.