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Finding the Fourth Proportional to 2,027.04, 3,040.56 and 729.42

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Solution

The fourth proportional to 2,027.04, 3,040.56 and 729.42 is: 1,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.04 : 3,040.56 = 729.42 : x
  2. Step 2: Convert to fraction form
    2,027.04/3,040.56 = 729.42/x
  3. Step 3: Cross multiply
    2,027.04x = 3,040.56 × 729.42
  4. Step 4: Simplify right side
    2,027.04x = 2,217,845.28
  5. Step 5: Solve for x
    x = 2,217,845.28/2,027.04
  6. Step 6: Final answer
    x = 1,094.13

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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.