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Finding the Fourth Proportional to 1,990.96, 2,972.12 and 1,846.78

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Solution

The fourth proportional to 1,990.96, 2,972.12 and 1,846.78 is: 2,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.96 : 2,972.12 = 1,846.78 : x
  2. Step 2: Convert to fraction form
    1,990.96/2,972.12 = 1,846.78/x
  3. Step 3: Cross multiply
    1,990.96x = 2,972.12 × 1,846.78
  4. Step 4: Simplify right side
    1,990.96x = 5,488,835.11
  5. Step 5: Solve for x
    x = 5,488,835.11/1,990.96
  6. Step 6: Final answer
    x = 2,756.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.