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Finding the Fourth Proportional to 2,864.74, 3,952.26 and 1,685.38

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Solution

The fourth proportional to 2,864.74, 3,952.26 and 1,685.38 is: 2,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.74 : 3,952.26 = 1,685.38 : x
  2. Step 2: Convert to fraction form
    2,864.74/3,952.26 = 1,685.38/x
  3. Step 3: Cross multiply
    2,864.74x = 3,952.26 × 1,685.38
  4. Step 4: Simplify right side
    2,864.74x = 6,661,059.96
  5. Step 5: Solve for x
    x = 6,661,059.96/2,864.74
  6. Step 6: Final answer
    x = 2,325.19

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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.