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Finding the Fourth Proportional to 2,367.50, 3,549.89 and 979.29

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Solution

The fourth proportional to 2,367.50, 3,549.89 and 979.29 is: 1,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.50 : 3,549.89 = 979.29 : x
  2. Step 2: Convert to fraction form
    2,367.50/3,549.89 = 979.29/x
  3. Step 3: Cross multiply
    2,367.50x = 3,549.89 × 979.29
  4. Step 4: Simplify right side
    2,367.50x = 3,476,374.23
  5. Step 5: Solve for x
    x = 3,476,374.23/2,367.50
  6. Step 6: Final answer
    x = 1,468.38

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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.