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Finding the Fourth Proportional to 2,452.58, 3,679.32 and 809.18

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Solution

The fourth proportional to 2,452.58, 3,679.32 and 809.18 is: 1,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.58 : 3,679.32 = 809.18 : x
  2. Step 2: Convert to fraction form
    2,452.58/3,679.32 = 809.18/x
  3. Step 3: Cross multiply
    2,452.58x = 3,679.32 × 809.18
  4. Step 4: Simplify right side
    2,452.58x = 2,977,232.16
  5. Step 5: Solve for x
    x = 2,977,232.16/2,452.58
  6. Step 6: Final answer
    x = 1,213.92

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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.