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Finding the Fourth Proportional to 2,815.11, 4,222.63 and 763.11

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Solution

The fourth proportional to 2,815.11, 4,222.63 and 763.11 is: 1,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.11 : 4,222.63 = 763.11 : x
  2. Step 2: Convert to fraction form
    2,815.11/4,222.63 = 763.11/x
  3. Step 3: Cross multiply
    2,815.11x = 4,222.63 × 763.11
  4. Step 4: Simplify right side
    2,815.11x = 3,222,331.18
  5. Step 5: Solve for x
    x = 3,222,331.18/2,815.11
  6. Step 6: Final answer
    x = 1,144.66

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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.