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Finding the Fourth Proportional to 2,866.77, 4,301.75 and 1,550.50

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Solution

The fourth proportional to 2,866.77, 4,301.75 and 1,550.50 is: 2,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.77 : 4,301.75 = 1,550.50 : x
  2. Step 2: Convert to fraction form
    2,866.77/4,301.75 = 1,550.50/x
  3. Step 3: Cross multiply
    2,866.77x = 4,301.75 × 1,550.50
  4. Step 4: Simplify right side
    2,866.77x = 6,669,863.38
  5. Step 5: Solve for x
    x = 6,669,863.38/2,866.77
  6. Step 6: Final answer
    x = 2,326.61

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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.