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Finding the Fourth Proportional to 2,122.57, 3,165.71 and 1,864.27

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Solution

The fourth proportional to 2,122.57, 3,165.71 and 1,864.27 is: 2,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.57 : 3,165.71 = 1,864.27 : x
  2. Step 2: Convert to fraction form
    2,122.57/3,165.71 = 1,864.27/x
  3. Step 3: Cross multiply
    2,122.57x = 3,165.71 × 1,864.27
  4. Step 4: Simplify right side
    2,122.57x = 5,901,738.18
  5. Step 5: Solve for x
    x = 5,901,738.18/2,122.57
  6. Step 6: Final answer
    x = 2,780.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.