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Finding the Fourth Proportional to 3,152.67, 4,729.01 and 844.23

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Solution

The fourth proportional to 3,152.67, 4,729.01 and 844.23 is: 1,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.67 : 4,729.01 = 844.23 : x
  2. Step 2: Convert to fraction form
    3,152.67/4,729.01 = 844.23/x
  3. Step 3: Cross multiply
    3,152.67x = 4,729.01 × 844.23
  4. Step 4: Simplify right side
    3,152.67x = 3,992,367.89
  5. Step 5: Solve for x
    x = 3,992,367.89/3,152.67
  6. Step 6: Final answer
    x = 1,266.35

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Similar ratio
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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.