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Finding the Fourth Proportional to 2,800, 3,864 and 1,558.24

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Solution

The fourth proportional to 2,800, 3,864 and 1,558.24 is: 2,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800 : 3,864 = 1,558.24 : x
  2. Step 2: Convert to fraction form
    2,800/3,864 = 1,558.24/x
  3. Step 3: Cross multiply
    2,800x = 3,864 × 1,558.24
  4. Step 4: Simplify right side
    2,800x = 6,021,039.36
  5. Step 5: Solve for x
    x = 6,021,039.36/2,800
  6. Step 6: Final answer
    x = 2,150.37

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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.