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Finding the Fourth Proportional to 2,601.64, 3,588.06 and 2,342.44

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Solution

The fourth proportional to 2,601.64, 3,588.06 and 2,342.44 is: 3,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.64 : 3,588.06 = 2,342.44 : x
  2. Step 2: Convert to fraction form
    2,601.64/3,588.06 = 2,342.44/x
  3. Step 3: Cross multiply
    2,601.64x = 3,588.06 × 2,342.44
  4. Step 4: Simplify right side
    2,601.64x = 8,404,815.27
  5. Step 5: Solve for x
    x = 8,404,815.27/2,601.64
  6. Step 6: Final answer
    x = 3,230.58

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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.