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Finding the Fourth Proportional to 1,660.31, 2,290.34 and 996.74

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Solution

The fourth proportional to 1,660.31, 2,290.34 and 996.74 is: 1,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.31 : 2,290.34 = 996.74 : x
  2. Step 2: Convert to fraction form
    1,660.31/2,290.34 = 996.74/x
  3. Step 3: Cross multiply
    1,660.31x = 2,290.34 × 996.74
  4. Step 4: Simplify right side
    1,660.31x = 2,282,873.49
  5. Step 5: Solve for x
    x = 2,282,873.49/1,660.31
  6. Step 6: Final answer
    x = 1,374.97

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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.