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Finding the Fourth Proportional to 2,992.04, 4,487.76 and 800.68

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Solution

The fourth proportional to 2,992.04, 4,487.76 and 800.68 is: 1,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.04 : 4,487.76 = 800.68 : x
  2. Step 2: Convert to fraction form
    2,992.04/4,487.76 = 800.68/x
  3. Step 3: Cross multiply
    2,992.04x = 4,487.76 × 800.68
  4. Step 4: Simplify right side
    2,992.04x = 3,593,259.68
  5. Step 5: Solve for x
    x = 3,593,259.68/2,992.04
  6. Step 6: Final answer
    x = 1,200.94

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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.