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Finding the Fourth Proportional to 2,980.62, 4,470.96 and 1,008.48

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Solution

The fourth proportional to 2,980.62, 4,470.96 and 1,008.48 is: 1,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.62 : 4,470.96 = 1,008.48 : x
  2. Step 2: Convert to fraction form
    2,980.62/4,470.96 = 1,008.48/x
  3. Step 3: Cross multiply
    2,980.62x = 4,470.96 × 1,008.48
  4. Step 4: Simplify right side
    2,980.62x = 4,508,873.74
  5. Step 5: Solve for x
    x = 4,508,873.74/2,980.62
  6. Step 6: Final answer
    x = 1,512.73

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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.