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Finding the Fourth Proportional to 2,027.57, 3,041.76 and 729.14

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Solution

The fourth proportional to 2,027.57, 3,041.76 and 729.14 is: 1,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.57 : 3,041.76 = 729.14 : x
  2. Step 2: Convert to fraction form
    2,027.57/3,041.76 = 729.14/x
  3. Step 3: Cross multiply
    2,027.57x = 3,041.76 × 729.14
  4. Step 4: Simplify right side
    2,027.57x = 2,217,868.89
  5. Step 5: Solve for x
    x = 2,217,868.89/2,027.57
  6. Step 6: Final answer
    x = 1,093.86

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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.