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Finding the Fourth Proportional to 3,009.62, 4,514.41 and 818.34

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Solution

The fourth proportional to 3,009.62, 4,514.41 and 818.34 is: 1,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.62 : 4,514.41 = 818.34 : x
  2. Step 2: Convert to fraction form
    3,009.62/4,514.41 = 818.34/x
  3. Step 3: Cross multiply
    3,009.62x = 4,514.41 × 818.34
  4. Step 4: Simplify right side
    3,009.62x = 3,694,322.28
  5. Step 5: Solve for x
    x = 3,694,322.28/3,009.62
  6. Step 6: Final answer
    x = 1,227.50

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1.5x scale

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.