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Finding the Fourth Proportional to 2,121.09, 3,182.04 and 659.94

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Solution

The fourth proportional to 2,121.09, 3,182.04 and 659.94 is: 990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.09 : 3,182.04 = 659.94 : x
  2. Step 2: Convert to fraction form
    2,121.09/3,182.04 = 659.94/x
  3. Step 3: Cross multiply
    2,121.09x = 3,182.04 × 659.94
  4. Step 4: Simplify right side
    2,121.09x = 2,099,955.48
  5. Step 5: Solve for x
    x = 2,099,955.48/2,121.09
  6. Step 6: Final answer
    x = 990.04

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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.