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Finding the Fourth Proportional to 3,097.45, 4,274.19 and 1,838.28

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Solution

The fourth proportional to 3,097.45, 4,274.19 and 1,838.28 is: 2,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.45 : 4,274.19 = 1,838.28 : x
  2. Step 2: Convert to fraction form
    3,097.45/4,274.19 = 1,838.28/x
  3. Step 3: Cross multiply
    3,097.45x = 4,274.19 × 1,838.28
  4. Step 4: Simplify right side
    3,097.45x = 7,857,174.02
  5. Step 5: Solve for x
    x = 7,857,174.02/3,097.45
  6. Step 6: Final answer
    x = 2,536.66

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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.