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Finding the Fourth Proportional to 2,452.58, 3,679.90 and 1,575.55

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Solution

The fourth proportional to 2,452.58, 3,679.90 and 1,575.55 is: 2,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.58 : 3,679.90 = 1,575.55 : x
  2. Step 2: Convert to fraction form
    2,452.58/3,679.90 = 1,575.55/x
  3. Step 3: Cross multiply
    2,452.58x = 3,679.90 × 1,575.55
  4. Step 4: Simplify right side
    2,452.58x = 5,797,867.11
  5. Step 5: Solve for x
    x = 5,797,867.11/2,452.58
  6. Step 6: Final answer
    x = 2,363.99

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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.