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Finding the Fourth Proportional to 2,674.71, 4,035.78 and 2,674.71

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Solution

The fourth proportional to 2,674.71, 4,035.78 and 2,674.71 is: 4,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.71 : 4,035.78 = 2,674.71 : x
  2. Step 2: Convert to fraction form
    2,674.71/4,035.78 = 2,674.71/x
  3. Step 3: Cross multiply
    2,674.71x = 4,035.78 × 2,674.71
  4. Step 4: Simplify right side
    2,674.71x = 10,794,541.12
  5. Step 5: Solve for x
    x = 10,794,541.12/2,674.71
  6. Step 6: Final answer
    x = 4,035.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.