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Finding the Fourth Proportional to 2,728.76, 3,767.80 and 2,098.28

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Solution

The fourth proportional to 2,728.76, 3,767.80 and 2,098.28 is: 2,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.76 : 3,767.80 = 2,098.28 : x
  2. Step 2: Convert to fraction form
    2,728.76/3,767.80 = 2,098.28/x
  3. Step 3: Cross multiply
    2,728.76x = 3,767.80 × 2,098.28
  4. Step 4: Simplify right side
    2,728.76x = 7,905,899.38
  5. Step 5: Solve for x
    x = 7,905,899.38/2,728.76
  6. Step 6: Final answer
    x = 2,897.25

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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.