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Finding the Fourth Proportional to 2,663.08, 3,994.98 and 932.92

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Solution

The fourth proportional to 2,663.08, 3,994.98 and 932.92 is: 1,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.08 : 3,994.98 = 932.92 : x
  2. Step 2: Convert to fraction form
    2,663.08/3,994.98 = 932.92/x
  3. Step 3: Cross multiply
    2,663.08x = 3,994.98 × 932.92
  4. Step 4: Simplify right side
    2,663.08x = 3,726,996.74
  5. Step 5: Solve for x
    x = 3,726,996.74/2,663.08
  6. Step 6: Final answer
    x = 1,399.51

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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.