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Finding the Fourth Proportional to 2,291.28, 3,438.74 and 830.85

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Solution

The fourth proportional to 2,291.28, 3,438.74 and 830.85 is: 1,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.28 : 3,438.74 = 830.85 : x
  2. Step 2: Convert to fraction form
    2,291.28/3,438.74 = 830.85/x
  3. Step 3: Cross multiply
    2,291.28x = 3,438.74 × 830.85
  4. Step 4: Simplify right side
    2,291.28x = 2,857,077.13
  5. Step 5: Solve for x
    x = 2,857,077.13/2,291.28
  6. Step 6: Final answer
    x = 1,246.93

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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.