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Finding the Fourth Proportional to 3,152.85, 4,729.47 and 961.39

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Solution

The fourth proportional to 3,152.85, 4,729.47 and 961.39 is: 1,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.85 : 4,729.47 = 961.39 : x
  2. Step 2: Convert to fraction form
    3,152.85/4,729.47 = 961.39/x
  3. Step 3: Cross multiply
    3,152.85x = 4,729.47 × 961.39
  4. Step 4: Simplify right side
    3,152.85x = 4,546,865.16
  5. Step 5: Solve for x
    x = 4,546,865.16/3,152.85
  6. Step 6: Final answer
    x = 1,442.14

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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.