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Finding the Fourth Proportional to 2,644.77, 3,965.86 and 1,084.49

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Solution

The fourth proportional to 2,644.77, 3,965.86 and 1,084.49 is: 1,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.77 : 3,965.86 = 1,084.49 : x
  2. Step 2: Convert to fraction form
    2,644.77/3,965.86 = 1,084.49/x
  3. Step 3: Cross multiply
    2,644.77x = 3,965.86 × 1,084.49
  4. Step 4: Simplify right side
    2,644.77x = 4,300,931.91
  5. Step 5: Solve for x
    x = 4,300,931.91/2,644.77
  6. Step 6: Final answer
    x = 1,626.20

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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.