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Finding the Fourth Proportional to 2,807.87, 4,212.10 and 859.92

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Solution

The fourth proportional to 2,807.87, 4,212.10 and 859.92 is: 1,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.87 : 4,212.10 = 859.92 : x
  2. Step 2: Convert to fraction form
    2,807.87/4,212.10 = 859.92/x
  3. Step 3: Cross multiply
    2,807.87x = 4,212.10 × 859.92
  4. Step 4: Simplify right side
    2,807.87x = 3,622,054.31
  5. Step 5: Solve for x
    x = 3,622,054.31/2,807.87
  6. Step 6: Final answer
    x = 1,289.97

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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.