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Finding the Fourth Proportional to 2,983.80, 4,114.89 and 1,864.38

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Solution

The fourth proportional to 2,983.80, 4,114.89 and 1,864.38 is: 2,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.80 : 4,114.89 = 1,864.38 : x
  2. Step 2: Convert to fraction form
    2,983.80/4,114.89 = 1,864.38/x
  3. Step 3: Cross multiply
    2,983.80x = 4,114.89 × 1,864.38
  4. Step 4: Simplify right side
    2,983.80x = 7,671,718.62
  5. Step 5: Solve for x
    x = 7,671,718.62/2,983.80
  6. Step 6: Final answer
    x = 2,571.12

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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.