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Finding the Fourth Proportional to 2,967.50, 4,451.40 and 2,531.79

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Solution

The fourth proportional to 2,967.50, 4,451.40 and 2,531.79 is: 3,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.50 : 4,451.40 = 2,531.79 : x
  2. Step 2: Convert to fraction form
    2,967.50/4,451.40 = 2,531.79/x
  3. Step 3: Cross multiply
    2,967.50x = 4,451.40 × 2,531.79
  4. Step 4: Simplify right side
    2,967.50x = 11,270,010.01
  5. Step 5: Solve for x
    x = 11,270,010.01/2,967.50
  6. Step 6: Final answer
    x = 3,797.82

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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.