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Finding the Fourth Proportional to 2,673.84, 3,691.08 and 2,342.64

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Solution

The fourth proportional to 2,673.84, 3,691.08 and 2,342.64 is: 3,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.84 : 3,691.08 = 2,342.64 : x
  2. Step 2: Convert to fraction form
    2,673.84/3,691.08 = 2,342.64/x
  3. Step 3: Cross multiply
    2,673.84x = 3,691.08 × 2,342.64
  4. Step 4: Simplify right side
    2,673.84x = 8,646,871.65
  5. Step 5: Solve for x
    x = 8,646,871.65/2,673.84
  6. Step 6: Final answer
    x = 3,233.88

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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.