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Finding the Fourth Proportional to 2,570.35, 3,859.17 and 2,452.90

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Solution

The fourth proportional to 2,570.35, 3,859.17 and 2,452.90 is: 3,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.35 : 3,859.17 = 2,452.90 : x
  2. Step 2: Convert to fraction form
    2,570.35/3,859.17 = 2,452.90/x
  3. Step 3: Cross multiply
    2,570.35x = 3,859.17 × 2,452.90
  4. Step 4: Simplify right side
    2,570.35x = 9,466,158.09
  5. Step 5: Solve for x
    x = 9,466,158.09/2,570.35
  6. Step 6: Final answer
    x = 3,682.83

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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.