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Finding the Fourth Proportional to 2,767.68, 3,816.99 and 2,394.54

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Solution

The fourth proportional to 2,767.68, 3,816.99 and 2,394.54 is: 3,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 3,816.99 = 2,394.54 : x
  2. Step 2: Convert to fraction form
    2,767.68/3,816.99 = 2,394.54/x
  3. Step 3: Cross multiply
    2,767.68x = 3,816.99 × 2,394.54
  4. Step 4: Simplify right side
    2,767.68x = 9,139,935.23
  5. Step 5: Solve for x
    x = 9,139,935.23/2,767.68
  6. Step 6: Final answer
    x = 3,302.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.