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Finding the Fourth Proportional to 2,121.51, 3,182.81 and 660.68

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Solution

The fourth proportional to 2,121.51, 3,182.81 and 660.68 is: 991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.51 : 3,182.81 = 660.68 : x
  2. Step 2: Convert to fraction form
    2,121.51/3,182.81 = 660.68/x
  3. Step 3: Cross multiply
    2,121.51x = 3,182.81 × 660.68
  4. Step 4: Simplify right side
    2,121.51x = 2,102,799.69
  5. Step 5: Solve for x
    x = 2,102,799.69/2,121.51
  6. Step 6: Final answer
    x = 991.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.