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Finding the Fourth Proportional to 2,079.46, 3,119.56 and 829.70

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Solution

The fourth proportional to 2,079.46, 3,119.56 and 829.70 is: 1,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.46 : 3,119.56 = 829.70 : x
  2. Step 2: Convert to fraction form
    2,079.46/3,119.56 = 829.70/x
  3. Step 3: Cross multiply
    2,079.46x = 3,119.56 × 829.70
  4. Step 4: Simplify right side
    2,079.46x = 2,588,298.93
  5. Step 5: Solve for x
    x = 2,588,298.93/2,079.46
  6. Step 6: Final answer
    x = 1,244.70

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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.