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Finding the Fourth Proportional to 2,817.80, 4,229.40 and 2,407.40

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Solution

The fourth proportional to 2,817.80, 4,229.40 and 2,407.40 is: 3,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.80 : 4,229.40 = 2,407.40 : x
  2. Step 2: Convert to fraction form
    2,817.80/4,229.40 = 2,407.40/x
  3. Step 3: Cross multiply
    2,817.80x = 4,229.40 × 2,407.40
  4. Step 4: Simplify right side
    2,817.80x = 10,181,857.56
  5. Step 5: Solve for x
    x = 10,181,857.56/2,817.80
  6. Step 6: Final answer
    x = 3,613.41

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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.