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Finding the Fourth Proportional to 1,995.92, 2,994.38 and 1,174.88

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Solution

The fourth proportional to 1,995.92, 2,994.38 and 1,174.88 is: 1,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.92 : 2,994.38 = 1,174.88 : x
  2. Step 2: Convert to fraction form
    1,995.92/2,994.38 = 1,174.88/x
  3. Step 3: Cross multiply
    1,995.92x = 2,994.38 × 1,174.88
  4. Step 4: Simplify right side
    1,995.92x = 3,518,037.17
  5. Step 5: Solve for x
    x = 3,518,037.17/1,995.92
  6. Step 6: Final answer
    x = 1,762.61

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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.