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Finding the Fourth Proportional to 2,452.96, 3,679.72 and 809.64

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Solution

The fourth proportional to 2,452.96, 3,679.72 and 809.64 is: 1,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.96 : 3,679.72 = 809.64 : x
  2. Step 2: Convert to fraction form
    2,452.96/3,679.72 = 809.64/x
  3. Step 3: Cross multiply
    2,452.96x = 3,679.72 × 809.64
  4. Step 4: Simplify right side
    2,452.96x = 2,979,248.50
  5. Step 5: Solve for x
    x = 2,979,248.50/2,452.96
  6. Step 6: Final answer
    x = 1,214.55

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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.