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Finding the Fourth Proportional to 1,864, 2,571.52 and 1,424

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Solution

The fourth proportional to 1,864, 2,571.52 and 1,424 is: 1,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864 : 2,571.52 = 1,424 : x
  2. Step 2: Convert to fraction form
    1,864/2,571.52 = 1,424/x
  3. Step 3: Cross multiply
    1,864x = 2,571.52 × 1,424
  4. Step 4: Simplify right side
    1,864x = 3,661,844.48
  5. Step 5: Solve for x
    x = 3,661,844.48/1,864
  6. Step 6: Final answer
    x = 1,964.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.