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Finding the Fourth Proportional to 3,097.41, 4,274.76 and 2,152.95

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Solution

The fourth proportional to 3,097.41, 4,274.76 and 2,152.95 is: 2,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.41 : 4,274.76 = 2,152.95 : x
  2. Step 2: Convert to fraction form
    3,097.41/4,274.76 = 2,152.95/x
  3. Step 3: Cross multiply
    3,097.41x = 4,274.76 × 2,152.95
  4. Step 4: Simplify right side
    3,097.41x = 9,203,344.54
  5. Step 5: Solve for x
    x = 9,203,344.54/3,097.41
  6. Step 6: Final answer
    x = 2,971.30

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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.