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Finding the Fourth Proportional to 2,503.92, 3,754.88 and 860

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Solution

The fourth proportional to 2,503.92, 3,754.88 and 860 is: 1,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.92 : 3,754.88 = 860 : x
  2. Step 2: Convert to fraction form
    2,503.92/3,754.88 = 860/x
  3. Step 3: Cross multiply
    2,503.92x = 3,754.88 × 860
  4. Step 4: Simplify right side
    2,503.92x = 3,229,196.80
  5. Step 5: Solve for x
    x = 3,229,196.80/2,503.92
  6. Step 6: Final answer
    x = 1,289.66

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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.