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Finding the Fourth Proportional to 2,966.29, 4,450.07 and 886.46

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Solution

The fourth proportional to 2,966.29, 4,450.07 and 886.46 is: 1,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.29 : 4,450.07 = 886.46 : x
  2. Step 2: Convert to fraction form
    2,966.29/4,450.07 = 886.46/x
  3. Step 3: Cross multiply
    2,966.29x = 4,450.07 × 886.46
  4. Step 4: Simplify right side
    2,966.29x = 3,944,809.05
  5. Step 5: Solve for x
    x = 3,944,809.05/2,966.29
  6. Step 6: Final answer
    x = 1,329.88

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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.