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Finding the Fourth Proportional to 2,098.98, 3,145.84 and 1,838.36

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Solution

The fourth proportional to 2,098.98, 3,145.84 and 1,838.36 is: 2,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.98 : 3,145.84 = 1,838.36 : x
  2. Step 2: Convert to fraction form
    2,098.98/3,145.84 = 1,838.36/x
  3. Step 3: Cross multiply
    2,098.98x = 3,145.84 × 1,838.36
  4. Step 4: Simplify right side
    2,098.98x = 5,783,186.42
  5. Step 5: Solve for x
    x = 5,783,186.42/2,098.98
  6. Step 6: Final answer
    x = 2,755.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.