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Finding the Fourth Proportional to 2,663.02, 3,994.53 and 814.04

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Solution

The fourth proportional to 2,663.02, 3,994.53 and 814.04 is: 1,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.02 : 3,994.53 = 814.04 : x
  2. Step 2: Convert to fraction form
    2,663.02/3,994.53 = 814.04/x
  3. Step 3: Cross multiply
    2,663.02x = 3,994.53 × 814.04
  4. Step 4: Simplify right side
    2,663.02x = 3,251,707.20
  5. Step 5: Solve for x
    x = 3,251,707.20/2,663.02
  6. Step 6: Final answer
    x = 1,221.06

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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.