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Finding the Fourth Proportional to 2,644.04, 3,647.16 and 1,747.78

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Solution

The fourth proportional to 2,644.04, 3,647.16 and 1,747.78 is: 2,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.04 : 3,647.16 = 1,747.78 : x
  2. Step 2: Convert to fraction form
    2,644.04/3,647.16 = 1,747.78/x
  3. Step 3: Cross multiply
    2,644.04x = 3,647.16 × 1,747.78
  4. Step 4: Simplify right side
    2,644.04x = 6,374,424.19
  5. Step 5: Solve for x
    x = 6,374,424.19/2,644.04
  6. Step 6: Final answer
    x = 2,410.86

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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.