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Finding the Fourth Proportional to 2,789.40, 4,184.16 and 1,034.46

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Solution

The fourth proportional to 2,789.40, 4,184.16 and 1,034.46 is: 1,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.40 : 4,184.16 = 1,034.46 : x
  2. Step 2: Convert to fraction form
    2,789.40/4,184.16 = 1,034.46/x
  3. Step 3: Cross multiply
    2,789.40x = 4,184.16 × 1,034.46
  4. Step 4: Simplify right side
    2,789.40x = 4,328,346.15
  5. Step 5: Solve for x
    x = 4,328,346.15/2,789.40
  6. Step 6: Final answer
    x = 1,551.71

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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.