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Finding the Fourth Proportional to 2,652.57, 3,976.07 and 896.97

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Solution

The fourth proportional to 2,652.57, 3,976.07 and 896.97 is: 1,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.57 : 3,976.07 = 896.97 : x
  2. Step 2: Convert to fraction form
    2,652.57/3,976.07 = 896.97/x
  3. Step 3: Cross multiply
    2,652.57x = 3,976.07 × 896.97
  4. Step 4: Simplify right side
    2,652.57x = 3,566,415.51
  5. Step 5: Solve for x
    x = 3,566,415.51/2,652.57
  6. Step 6: Final answer
    x = 1,344.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.