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Finding the Fourth Proportional to 2,412.59, 3,619.43 and 769.23

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Solution

The fourth proportional to 2,412.59, 3,619.43 and 769.23 is: 1,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.59 : 3,619.43 = 769.23 : x
  2. Step 2: Convert to fraction form
    2,412.59/3,619.43 = 769.23/x
  3. Step 3: Cross multiply
    2,412.59x = 3,619.43 × 769.23
  4. Step 4: Simplify right side
    2,412.59x = 2,784,170.29
  5. Step 5: Solve for x
    x = 2,784,170.29/2,412.59
  6. Step 6: Final answer
    x = 1,154.02

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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.