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Finding the Fourth Proportional to 1,990.97, 2,747.54 and 1,106.86

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Solution

The fourth proportional to 1,990.97, 2,747.54 and 1,106.86 is: 1,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.97 : 2,747.54 = 1,106.86 : x
  2. Step 2: Convert to fraction form
    1,990.97/2,747.54 = 1,106.86/x
  3. Step 3: Cross multiply
    1,990.97x = 2,747.54 × 1,106.86
  4. Step 4: Simplify right side
    1,990.97x = 3,041,138.02
  5. Step 5: Solve for x
    x = 3,041,138.02/1,990.97
  6. Step 6: Final answer
    x = 1,527.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.