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Finding the Fourth Proportional to 2,644.68, 3,984.62 and 2,394.68

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Solution

The fourth proportional to 2,644.68, 3,984.62 and 2,394.68 is: 3,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.68 : 3,984.62 = 2,394.68 : x
  2. Step 2: Convert to fraction form
    2,644.68/3,984.62 = 2,394.68/x
  3. Step 3: Cross multiply
    2,644.68x = 3,984.62 × 2,394.68
  4. Step 4: Simplify right side
    2,644.68x = 9,541,889.82
  5. Step 5: Solve for x
    x = 9,541,889.82/2,644.68
  6. Step 6: Final answer
    x = 3,607.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.