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Finding the Fourth Proportional to 2,079.42, 3,119.61 and 780.89

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Solution

The fourth proportional to 2,079.42, 3,119.61 and 780.89 is: 1,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.42 : 3,119.61 = 780.89 : x
  2. Step 2: Convert to fraction form
    2,079.42/3,119.61 = 780.89/x
  3. Step 3: Cross multiply
    2,079.42x = 3,119.61 × 780.89
  4. Step 4: Simplify right side
    2,079.42x = 2,436,077.13
  5. Step 5: Solve for x
    x = 2,436,077.13/2,079.42
  6. Step 6: Final answer
    x = 1,171.52

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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.