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Finding the Fourth Proportional to 2,179.98, 3,005.57 and 1,781.23

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Solution

The fourth proportional to 2,179.98, 3,005.57 and 1,781.23 is: 2,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.98 : 3,005.57 = 1,781.23 : x
  2. Step 2: Convert to fraction form
    2,179.98/3,005.57 = 1,781.23/x
  3. Step 3: Cross multiply
    2,179.98x = 3,005.57 × 1,781.23
  4. Step 4: Simplify right side
    2,179.98x = 5,353,611.45
  5. Step 5: Solve for x
    x = 5,353,611.45/2,179.98
  6. Step 6: Final answer
    x = 2,455.81

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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.