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Finding the Fourth Proportional to 2,167.35, 3,248.98 and 1,974.75

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Solution

The fourth proportional to 2,167.35, 3,248.98 and 1,974.75 is: 2,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.35 : 3,248.98 = 1,974.75 : x
  2. Step 2: Convert to fraction form
    2,167.35/3,248.98 = 1,974.75/x
  3. Step 3: Cross multiply
    2,167.35x = 3,248.98 × 1,974.75
  4. Step 4: Simplify right side
    2,167.35x = 6,415,918.32
  5. Step 5: Solve for x
    x = 6,415,918.32/2,167.35
  6. Step 6: Final answer
    x = 2,960.26

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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.