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Finding the Fourth Proportional to 1,660.82, 2,291.80 and 952.65

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Solution

The fourth proportional to 1,660.82, 2,291.80 and 952.65 is: 1,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.82 : 2,291.80 = 952.65 : x
  2. Step 2: Convert to fraction form
    1,660.82/2,291.80 = 952.65/x
  3. Step 3: Cross multiply
    1,660.82x = 2,291.80 × 952.65
  4. Step 4: Simplify right side
    1,660.82x = 2,183,283.27
  5. Step 5: Solve for x
    x = 2,183,283.27/1,660.82
  6. Step 6: Final answer
    x = 1,314.58

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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.