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Finding the Fourth Proportional to 2,644.35, 3,960.05 and 1,776.03

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Solution

The fourth proportional to 2,644.35, 3,960.05 and 1,776.03 is: 2,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.35 : 3,960.05 = 1,776.03 : x
  2. Step 2: Convert to fraction form
    2,644.35/3,960.05 = 1,776.03/x
  3. Step 3: Cross multiply
    2,644.35x = 3,960.05 × 1,776.03
  4. Step 4: Simplify right side
    2,644.35x = 7,033,158.72
  5. Step 5: Solve for x
    x = 7,033,158.72/2,644.35
  6. Step 6: Final answer
    x = 2,659.69

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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.