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Finding the Fourth Proportional to 2,134.24, 3,200.88 and 766.24

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Solution

The fourth proportional to 2,134.24, 3,200.88 and 766.24 is: 1,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.24 : 3,200.88 = 766.24 : x
  2. Step 2: Convert to fraction form
    2,134.24/3,200.88 = 766.24/x
  3. Step 3: Cross multiply
    2,134.24x = 3,200.88 × 766.24
  4. Step 4: Simplify right side
    2,134.24x = 2,452,642.29
  5. Step 5: Solve for x
    x = 2,452,642.29/2,134.24
  6. Step 6: Final answer
    x = 1,149.19

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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.