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Finding the Fourth Proportional to 2,644.14, 3,650.11 and 2,014.72

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Solution

The fourth proportional to 2,644.14, 3,650.11 and 2,014.72 is: 2,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.14 : 3,650.11 = 2,014.72 : x
  2. Step 2: Convert to fraction form
    2,644.14/3,650.11 = 2,014.72/x
  3. Step 3: Cross multiply
    2,644.14x = 3,650.11 × 2,014.72
  4. Step 4: Simplify right side
    2,644.14x = 7,353,967.32
  5. Step 5: Solve for x
    x = 7,353,967.32/2,644.14
  6. Step 6: Final answer
    x = 2,781.23

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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.