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Finding the Fourth Proportional to 2,861.38, 4,291.71 and 913.42

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Solution

The fourth proportional to 2,861.38, 4,291.71 and 913.42 is: 1,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.38 : 4,291.71 = 913.42 : x
  2. Step 2: Convert to fraction form
    2,861.38/4,291.71 = 913.42/x
  3. Step 3: Cross multiply
    2,861.38x = 4,291.71 × 913.42
  4. Step 4: Simplify right side
    2,861.38x = 3,920,133.75
  5. Step 5: Solve for x
    x = 3,920,133.75/2,861.38
  6. Step 6: Final answer
    x = 1,370.02

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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.