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Finding the Fourth Proportional to 2,971.92, 4,092.48 and 2,383.32

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Solution

The fourth proportional to 2,971.92, 4,092.48 and 2,383.32 is: 3,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.92 : 4,092.48 = 2,383.32 : x
  2. Step 2: Convert to fraction form
    2,971.92/4,092.48 = 2,383.32/x
  3. Step 3: Cross multiply
    2,971.92x = 4,092.48 × 2,383.32
  4. Step 4: Simplify right side
    2,971.92x = 9,753,689.43
  5. Step 5: Solve for x
    x = 9,753,689.43/2,971.92
  6. Step 6: Final answer
    x = 3,281.95

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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.