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Finding the Fourth Proportional to 3,040.34, 4,560.53 and 849.11

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Solution

The fourth proportional to 3,040.34, 4,560.53 and 849.11 is: 1,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.34 : 4,560.53 = 849.11 : x
  2. Step 2: Convert to fraction form
    3,040.34/4,560.53 = 849.11/x
  3. Step 3: Cross multiply
    3,040.34x = 4,560.53 × 849.11
  4. Step 4: Simplify right side
    3,040.34x = 3,872,364.58
  5. Step 5: Solve for x
    x = 3,872,364.58/3,040.34
  6. Step 6: Final answer
    x = 1,273.66

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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.