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Finding the Fourth Proportional to 3,097.68, 4,267.08 and 2,310.36

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Solution

The fourth proportional to 3,097.68, 4,267.08 and 2,310.36 is: 3,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.68 : 4,267.08 = 2,310.36 : x
  2. Step 2: Convert to fraction form
    3,097.68/4,267.08 = 2,310.36/x
  3. Step 3: Cross multiply
    3,097.68x = 4,267.08 × 2,310.36
  4. Step 4: Simplify right side
    3,097.68x = 9,858,490.95
  5. Step 5: Solve for x
    x = 9,858,490.95/3,097.68
  6. Step 6: Final answer
    x = 3,182.54

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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.