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Finding the Fourth Proportional to 3,040.84, 4,560.74 and 849.06

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Solution

The fourth proportional to 3,040.84, 4,560.74 and 849.06 is: 1,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.84 : 4,560.74 = 849.06 : x
  2. Step 2: Convert to fraction form
    3,040.84/4,560.74 = 849.06/x
  3. Step 3: Cross multiply
    3,040.84x = 4,560.74 × 849.06
  4. Step 4: Simplify right side
    3,040.84x = 3,872,337.66
  5. Step 5: Solve for x
    x = 3,872,337.66/3,040.84
  6. Step 6: Final answer
    x = 1,273.44

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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.