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Finding the Fourth Proportional to 2,967.10, 4,449.12 and 992.01

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Solution

The fourth proportional to 2,967.10, 4,449.12 and 992.01 is: 1,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.10 : 4,449.12 = 992.01 : x
  2. Step 2: Convert to fraction form
    2,967.10/4,449.12 = 992.01/x
  3. Step 3: Cross multiply
    2,967.10x = 4,449.12 × 992.01
  4. Step 4: Simplify right side
    2,967.10x = 4,413,571.53
  5. Step 5: Solve for x
    x = 4,413,571.53/2,967.10
  6. Step 6: Final answer
    x = 1,487.50

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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.