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Finding the Fourth Proportional to 3,060.32, 4,591.17 and 980.49

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Solution

The fourth proportional to 3,060.32, 4,591.17 and 980.49 is: 1,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.32 : 4,591.17 = 980.49 : x
  2. Step 2: Convert to fraction form
    3,060.32/4,591.17 = 980.49/x
  3. Step 3: Cross multiply
    3,060.32x = 4,591.17 × 980.49
  4. Step 4: Simplify right side
    3,060.32x = 4,501,596.27
  5. Step 5: Solve for x
    x = 4,501,596.27/3,060.32
  6. Step 6: Final answer
    x = 1,470.96

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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.