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Finding the Fourth Proportional to 2,158.34, 2,976.20 and 1,659.90

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Solution

The fourth proportional to 2,158.34, 2,976.20 and 1,659.90 is: 2,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.34 : 2,976.20 = 1,659.90 : x
  2. Step 2: Convert to fraction form
    2,158.34/2,976.20 = 1,659.90/x
  3. Step 3: Cross multiply
    2,158.34x = 2,976.20 × 1,659.90
  4. Step 4: Simplify right side
    2,158.34x = 4,940,194.38
  5. Step 5: Solve for x
    x = 4,940,194.38/2,158.34
  6. Step 6: Final answer
    x = 2,288.89

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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.