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Finding the Fourth Proportional to 1,660.41, 2,291.34 and 952.38

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Solution

The fourth proportional to 1,660.41, 2,291.34 and 952.38 is: 1,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.41 : 2,291.34 = 952.38 : x
  2. Step 2: Convert to fraction form
    1,660.41/2,291.34 = 952.38/x
  3. Step 3: Cross multiply
    1,660.41x = 2,291.34 × 952.38
  4. Step 4: Simplify right side
    1,660.41x = 2,182,226.39
  5. Step 5: Solve for x
    x = 2,182,226.39/1,660.41
  6. Step 6: Final answer
    x = 1,314.27

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1.5x scale

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.