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Finding the Fourth Proportional to 2,761.62, 4,139.66 and 1,119.10

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Solution

The fourth proportional to 2,761.62, 4,139.66 and 1,119.10 is: 1,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.62 : 4,139.66 = 1,119.10 : x
  2. Step 2: Convert to fraction form
    2,761.62/4,139.66 = 1,119.10/x
  3. Step 3: Cross multiply
    2,761.62x = 4,139.66 × 1,119.10
  4. Step 4: Simplify right side
    2,761.62x = 4,632,693.51
  5. Step 5: Solve for x
    x = 4,632,693.51/2,761.62
  6. Step 6: Final answer
    x = 1,677.53

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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.