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Finding the Fourth Proportional to 2,644.17, 3,962.94 and 2,014.77

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Solution

The fourth proportional to 2,644.17, 3,962.94 and 2,014.77 is: 3,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.17 : 3,962.94 = 2,014.77 : x
  2. Step 2: Convert to fraction form
    2,644.17/3,962.94 = 2,014.77/x
  3. Step 3: Cross multiply
    2,644.17x = 3,962.94 × 2,014.77
  4. Step 4: Simplify right side
    2,644.17x = 7,984,412.62
  5. Step 5: Solve for x
    x = 7,984,412.62/2,644.17
  6. Step 6: Final answer
    x = 3,019.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.