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Finding the Fourth Proportional to 3,017.76, 4,524.82 and 1,976.52

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Solution

The fourth proportional to 3,017.76, 4,524.82 and 1,976.52 is: 2,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.76 : 4,524.82 = 1,976.52 : x
  2. Step 2: Convert to fraction form
    3,017.76/4,524.82 = 1,976.52/x
  3. Step 3: Cross multiply
    3,017.76x = 4,524.82 × 1,976.52
  4. Step 4: Simplify right side
    3,017.76x = 8,943,397.23
  5. Step 5: Solve for x
    x = 8,943,397.23/3,017.76
  6. Step 6: Final answer
    x = 2,963.59

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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.