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Finding the Fourth Proportional to 2,342.01, 3,231.95 and 1,279.77

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Solution

The fourth proportional to 2,342.01, 3,231.95 and 1,279.77 is: 1,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.01 : 3,231.95 = 1,279.77 : x
  2. Step 2: Convert to fraction form
    2,342.01/3,231.95 = 1,279.77/x
  3. Step 3: Cross multiply
    2,342.01x = 3,231.95 × 1,279.77
  4. Step 4: Simplify right side
    2,342.01x = 4,136,135.93
  5. Step 5: Solve for x
    x = 4,136,135.93/2,342.01
  6. Step 6: Final answer
    x = 1,766.07

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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.