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Finding the Fourth Proportional to 2,942.99, 4,061.37 and 1,616.75

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Solution

The fourth proportional to 2,942.99, 4,061.37 and 1,616.75 is: 2,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.99 : 4,061.37 = 1,616.75 : x
  2. Step 2: Convert to fraction form
    2,942.99/4,061.37 = 1,616.75/x
  3. Step 3: Cross multiply
    2,942.99x = 4,061.37 × 1,616.75
  4. Step 4: Simplify right side
    2,942.99x = 6,566,199.64
  5. Step 5: Solve for x
    x = 6,566,199.64/2,942.99
  6. Step 6: Final answer
    x = 2,231.14

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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.