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Finding the Fourth Proportional to 2,882.00, 3,976.38 and 1,702.82

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Solution

The fourth proportional to 2,882.00, 3,976.38 and 1,702.82 is: 2,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.00 : 3,976.38 = 1,702.82 : x
  2. Step 2: Convert to fraction form
    2,882.00/3,976.38 = 1,702.82/x
  3. Step 3: Cross multiply
    2,882.00x = 3,976.38 × 1,702.82
  4. Step 4: Simplify right side
    2,882.00x = 6,771,039.51
  5. Step 5: Solve for x
    x = 6,771,039.51/2,882.00
  6. Step 6: Final answer
    x = 2,349.43

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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.