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Finding the Fourth Proportional to 3,097.82, 4,274.61 and 1,838.90

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Solution

The fourth proportional to 3,097.82, 4,274.61 and 1,838.90 is: 2,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.82 : 4,274.61 = 1,838.90 : x
  2. Step 2: Convert to fraction form
    3,097.82/4,274.61 = 1,838.90/x
  3. Step 3: Cross multiply
    3,097.82x = 4,274.61 × 1,838.90
  4. Step 4: Simplify right side
    3,097.82x = 7,860,580.33
  5. Step 5: Solve for x
    x = 7,860,580.33/3,097.82
  6. Step 6: Final answer
    x = 2,537.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.