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Finding the Fourth Proportional to 2,121.32, 3,182.37 and 660.13

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Solution

The fourth proportional to 2,121.32, 3,182.37 and 660.13 is: 990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.32 : 3,182.37 = 660.13 : x
  2. Step 2: Convert to fraction form
    2,121.32/3,182.37 = 660.13/x
  3. Step 3: Cross multiply
    2,121.32x = 3,182.37 × 660.13
  4. Step 4: Simplify right side
    2,121.32x = 2,100,777.91
  5. Step 5: Solve for x
    x = 2,100,777.91/2,121.32
  6. Step 6: Final answer
    x = 990.32

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