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Finding the Fourth Proportional to 2,203.29, 3,304.17 and 886.65

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Solution

The fourth proportional to 2,203.29, 3,304.17 and 886.65 is: 1,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.29 : 3,304.17 = 886.65 : x
  2. Step 2: Convert to fraction form
    2,203.29/3,304.17 = 886.65/x
  3. Step 3: Cross multiply
    2,203.29x = 3,304.17 × 886.65
  4. Step 4: Simplify right side
    2,203.29x = 2,929,642.33
  5. Step 5: Solve for x
    x = 2,929,642.33/2,203.29
  6. Step 6: Final answer
    x = 1,329.67

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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.