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Finding the Fourth Proportional to 2,663.44, 3,675.98 and 1,616.11

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Solution

The fourth proportional to 2,663.44, 3,675.98 and 1,616.11 is: 2,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.44 : 3,675.98 = 1,616.11 : x
  2. Step 2: Convert to fraction form
    2,663.44/3,675.98 = 1,616.11/x
  3. Step 3: Cross multiply
    2,663.44x = 3,675.98 × 1,616.11
  4. Step 4: Simplify right side
    2,663.44x = 5,940,782.89
  5. Step 5: Solve for x
    x = 5,940,782.89/2,663.44
  6. Step 6: Final answer
    x = 2,230.49

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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.