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Finding the Fourth Proportional to 3,385, 4,671.71 and 1,987.75

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Solution

The fourth proportional to 3,385, 4,671.71 and 1,987.75 is: 2,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385 : 4,671.71 = 1,987.75 : x
  2. Step 2: Convert to fraction form
    3,385/4,671.71 = 1,987.75/x
  3. Step 3: Cross multiply
    3,385x = 4,671.71 × 1,987.75
  4. Step 4: Simplify right side
    3,385x = 9,286,181.61
  5. Step 5: Solve for x
    x = 9,286,181.61/3,385
  6. Step 6: Final answer
    x = 2,743.33

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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.