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Finding the Fourth Proportional to 2,951.79, 4,427.90 and 760.55

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Solution

The fourth proportional to 2,951.79, 4,427.90 and 760.55 is: 1,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.79 : 4,427.90 = 760.55 : x
  2. Step 2: Convert to fraction form
    2,951.79/4,427.90 = 760.55/x
  3. Step 3: Cross multiply
    2,951.79x = 4,427.90 × 760.55
  4. Step 4: Simplify right side
    2,951.79x = 3,367,613.40
  5. Step 5: Solve for x
    x = 3,367,613.40/2,951.79
  6. Step 6: Final answer
    x = 1,140.87

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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.