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Finding the Fourth Proportional to 2,045.33, 3,066.20 and 728.88

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Solution

The fourth proportional to 2,045.33, 3,066.20 and 728.88 is: 1,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.33 : 3,066.20 = 728.88 : x
  2. Step 2: Convert to fraction form
    2,045.33/3,066.20 = 728.88/x
  3. Step 3: Cross multiply
    2,045.33x = 3,066.20 × 728.88
  4. Step 4: Simplify right side
    2,045.33x = 2,234,891.86
  5. Step 5: Solve for x
    x = 2,234,891.86/2,045.33
  6. Step 6: Final answer
    x = 1,092.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.