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Finding the Fourth Proportional to 2,942.74, 4,061 and 1,616.46

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Solution

The fourth proportional to 2,942.74, 4,061 and 1,616.46 is: 2,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.74 : 4,061 = 1,616.46 : x
  2. Step 2: Convert to fraction form
    2,942.74/4,061 = 1,616.46/x
  3. Step 3: Cross multiply
    2,942.74x = 4,061 × 1,616.46
  4. Step 4: Simplify right side
    2,942.74x = 6,564,444.06
  5. Step 5: Solve for x
    x = 6,564,444.06/2,942.74
  6. Step 6: Final answer
    x = 2,230.73

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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.