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Finding the Fourth Proportional to 2,967.22, 4,449.30 and 992.14

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Solution

The fourth proportional to 2,967.22, 4,449.30 and 992.14 is: 1,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.22 : 4,449.30 = 992.14 : x
  2. Step 2: Convert to fraction form
    2,967.22/4,449.30 = 992.14/x
  3. Step 3: Cross multiply
    2,967.22x = 4,449.30 × 992.14
  4. Step 4: Simplify right side
    2,967.22x = 4,414,328.50
  5. Step 5: Solve for x
    x = 4,414,328.50/2,967.22
  6. Step 6: Final answer
    x = 1,487.70

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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.