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Finding the Fourth Proportional to 1,481.91, 2,046.06 and 952.14

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Solution

The fourth proportional to 1,481.91, 2,046.06 and 952.14 is: 1,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.91 : 2,046.06 = 952.14 : x
  2. Step 2: Convert to fraction form
    1,481.91/2,046.06 = 952.14/x
  3. Step 3: Cross multiply
    1,481.91x = 2,046.06 × 952.14
  4. Step 4: Simplify right side
    1,481.91x = 1,948,135.57
  5. Step 5: Solve for x
    x = 1,948,135.57/1,481.91
  6. Step 6: Final answer
    x = 1,314.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.