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Finding the Fourth Proportional to 3,120.97, 4,660.89 and 2,776.52

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Solution

The fourth proportional to 3,120.97, 4,660.89 and 2,776.52 is: 4,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.97 : 4,660.89 = 2,776.52 : x
  2. Step 2: Convert to fraction form
    3,120.97/4,660.89 = 2,776.52/x
  3. Step 3: Cross multiply
    3,120.97x = 4,660.89 × 2,776.52
  4. Step 4: Simplify right side
    3,120.97x = 12,941,054.30
  5. Step 5: Solve for x
    x = 12,941,054.30/3,120.97
  6. Step 6: Final answer
    x = 4,146.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.