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Finding the Fourth Proportional to 2,861.61, 4,291.92 and 860.27

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Solution

The fourth proportional to 2,861.61, 4,291.92 and 860.27 is: 1,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.61 : 4,291.92 = 860.27 : x
  2. Step 2: Convert to fraction form
    2,861.61/4,291.92 = 860.27/x
  3. Step 3: Cross multiply
    2,861.61x = 4,291.92 × 860.27
  4. Step 4: Simplify right side
    2,861.61x = 3,692,227.19
  5. Step 5: Solve for x
    x = 3,692,227.19/2,861.61
  6. Step 6: Final answer
    x = 1,290.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.