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Finding the Fourth Proportional to 3,010.20, 4,514.78 and 818.64

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Solution

The fourth proportional to 3,010.20, 4,514.78 and 818.64 is: 1,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.20 : 4,514.78 = 818.64 : x
  2. Step 2: Convert to fraction form
    3,010.20/4,514.78 = 818.64/x
  3. Step 3: Cross multiply
    3,010.20x = 4,514.78 × 818.64
  4. Step 4: Simplify right side
    3,010.20x = 3,695,979.50
  5. Step 5: Solve for x
    x = 3,695,979.50/3,010.20
  6. Step 6: Final answer
    x = 1,227.82

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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.