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Finding the Fourth Proportional to 3,040.76, 4,561.12 and 849.50

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Solution

The fourth proportional to 3,040.76, 4,561.12 and 849.50 is: 1,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.76 : 4,561.12 = 849.50 : x
  2. Step 2: Convert to fraction form
    3,040.76/4,561.12 = 849.50/x
  3. Step 3: Cross multiply
    3,040.76x = 4,561.12 × 849.50
  4. Step 4: Simplify right side
    3,040.76x = 3,874,671.44
  5. Step 5: Solve for x
    x = 3,874,671.44/3,040.76
  6. Step 6: Final answer
    x = 1,274.24

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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.