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Finding the Fourth Proportional to 2,967.18, 4,443.21 and 1,867.74

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Solution

The fourth proportional to 2,967.18, 4,443.21 and 1,867.74 is: 2,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.18 : 4,443.21 = 1,867.74 : x
  2. Step 2: Convert to fraction form
    2,967.18/4,443.21 = 1,867.74/x
  3. Step 3: Cross multiply
    2,967.18x = 4,443.21 × 1,867.74
  4. Step 4: Simplify right side
    2,967.18x = 8,298,761.05
  5. Step 5: Solve for x
    x = 8,298,761.05/2,967.18
  6. Step 6: Final answer
    x = 2,796.85

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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.