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Finding the Fourth Proportional to 3,097.77, 4,278.74 and 2,315.31

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Solution

The fourth proportional to 3,097.77, 4,278.74 and 2,315.31 is: 3,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.77 : 4,278.74 = 2,315.31 : x
  2. Step 2: Convert to fraction form
    3,097.77/4,278.74 = 2,315.31/x
  3. Step 3: Cross multiply
    3,097.77x = 4,278.74 × 2,315.31
  4. Step 4: Simplify right side
    3,097.77x = 9,906,597.93
  5. Step 5: Solve for x
    x = 9,906,597.93/3,097.77
  6. Step 6: Final answer
    x = 3,197.98

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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.