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Finding the Fourth Proportional to 1,988, 2,982 and 833.75

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Solution

The fourth proportional to 1,988, 2,982 and 833.75 is: 1,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988 : 2,982 = 833.75 : x
  2. Step 2: Convert to fraction form
    1,988/2,982 = 833.75/x
  3. Step 3: Cross multiply
    1,988x = 2,982 × 833.75
  4. Step 4: Simplify right side
    1,988x = 2,486,242.50
  5. Step 5: Solve for x
    x = 2,486,242.50/1,988
  6. Step 6: Final answer
    x = 1,250.63

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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.