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Finding the Fourth Proportional to 2,452.88, 3,678.81 and 809.05

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Solution

The fourth proportional to 2,452.88, 3,678.81 and 809.05 is: 1,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.88 : 3,678.81 = 809.05 : x
  2. Step 2: Convert to fraction form
    2,452.88/3,678.81 = 809.05/x
  3. Step 3: Cross multiply
    2,452.88x = 3,678.81 × 809.05
  4. Step 4: Simplify right side
    2,452.88x = 2,976,332.03
  5. Step 5: Solve for x
    x = 2,976,332.03/2,452.88
  6. Step 6: Final answer
    x = 1,213.40

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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.