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Finding the Fourth Proportional to 2,023.29, 3,030.03 and 1,154.97

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Solution

The fourth proportional to 2,023.29, 3,030.03 and 1,154.97 is: 1,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.29 : 3,030.03 = 1,154.97 : x
  2. Step 2: Convert to fraction form
    2,023.29/3,030.03 = 1,154.97/x
  3. Step 3: Cross multiply
    2,023.29x = 3,030.03 × 1,154.97
  4. Step 4: Simplify right side
    2,023.29x = 3,499,593.75
  5. Step 5: Solve for x
    x = 3,499,593.75/2,023.29
  6. Step 6: Final answer
    x = 1,729.66

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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.