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Finding the Fourth Proportional to 2,079.77, 3,117.78 and 762.59

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Solution

The fourth proportional to 2,079.77, 3,117.78 and 762.59 is: 1,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.77 : 3,117.78 = 762.59 : x
  2. Step 2: Convert to fraction form
    2,079.77/3,117.78 = 762.59/x
  3. Step 3: Cross multiply
    2,079.77x = 3,117.78 × 762.59
  4. Step 4: Simplify right side
    2,079.77x = 2,377,595.64
  5. Step 5: Solve for x
    x = 2,377,595.64/2,079.77
  6. Step 6: Final answer
    x = 1,143.20

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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.