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Finding the Fourth Proportional to 2,217.66, 3,326.40 and 830.88

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Solution

The fourth proportional to 2,217.66, 3,326.40 and 830.88 is: 1,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.66 : 3,326.40 = 830.88 : x
  2. Step 2: Convert to fraction form
    2,217.66/3,326.40 = 830.88/x
  3. Step 3: Cross multiply
    2,217.66x = 3,326.40 × 830.88
  4. Step 4: Simplify right side
    2,217.66x = 2,763,839.23
  5. Step 5: Solve for x
    x = 2,763,839.23/2,217.66
  6. Step 6: Final answer
    x = 1,246.29

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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.