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Finding the Fourth Proportional to 2,691.68, 4,043.60 and 1,596.77

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Solution

The fourth proportional to 2,691.68, 4,043.60 and 1,596.77 is: 2,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.68 : 4,043.60 = 1,596.77 : x
  2. Step 2: Convert to fraction form
    2,691.68/4,043.60 = 1,596.77/x
  3. Step 3: Cross multiply
    2,691.68x = 4,043.60 × 1,596.77
  4. Step 4: Simplify right side
    2,691.68x = 6,456,670.97
  5. Step 5: Solve for x
    x = 6,456,670.97/2,691.68
  6. Step 6: Final answer
    x = 2,398.75

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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.