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Finding the Fourth Proportional to 3,040.46, 4,560.54 and 849.14

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Solution

The fourth proportional to 3,040.46, 4,560.54 and 849.14 is: 1,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.46 : 4,560.54 = 849.14 : x
  2. Step 2: Convert to fraction form
    3,040.46/4,560.54 = 849.14/x
  3. Step 3: Cross multiply
    3,040.46x = 4,560.54 × 849.14
  4. Step 4: Simplify right side
    3,040.46x = 3,872,536.94
  5. Step 5: Solve for x
    x = 3,872,536.94/3,040.46
  6. Step 6: Final answer
    x = 1,273.67

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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.