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Finding the Fourth Proportional to 2,150.16, 3,225.44 and 763.44

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Solution

The fourth proportional to 2,150.16, 3,225.44 and 763.44 is: 1,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.16 : 3,225.44 = 763.44 : x
  2. Step 2: Convert to fraction form
    2,150.16/3,225.44 = 763.44/x
  3. Step 3: Cross multiply
    2,150.16x = 3,225.44 × 763.44
  4. Step 4: Simplify right side
    2,150.16x = 2,462,419.73
  5. Step 5: Solve for x
    x = 2,462,419.73/2,150.16
  6. Step 6: Final answer
    x = 1,145.23

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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.