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Finding the Fourth Proportional to 2,118, 2,921.76 and 1,593.84

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Solution

The fourth proportional to 2,118, 2,921.76 and 1,593.84 is: 2,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118 : 2,921.76 = 1,593.84 : x
  2. Step 2: Convert to fraction form
    2,118/2,921.76 = 1,593.84/x
  3. Step 3: Cross multiply
    2,118x = 2,921.76 × 1,593.84
  4. Step 4: Simplify right side
    2,118x = 4,656,817.96
  5. Step 5: Solve for x
    x = 4,656,817.96/2,118
  6. Step 6: Final answer
    x = 2,198.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.