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Finding the Fourth Proportional to 2,983.78, 4,117.38 and 1,657.27

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Solution

The fourth proportional to 2,983.78, 4,117.38 and 1,657.27 is: 2,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.78 : 4,117.38 = 1,657.27 : x
  2. Step 2: Convert to fraction form
    2,983.78/4,117.38 = 1,657.27/x
  3. Step 3: Cross multiply
    2,983.78x = 4,117.38 × 1,657.27
  4. Step 4: Simplify right side
    2,983.78x = 6,823,589.77
  5. Step 5: Solve for x
    x = 6,823,589.77/2,983.78
  6. Step 6: Final answer
    x = 2,286.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.