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Finding the Fourth Proportional to 2,866.80, 4,296.58 and 1,550.50

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Solution

The fourth proportional to 2,866.80, 4,296.58 and 1,550.50 is: 2,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.80 : 4,296.58 = 1,550.50 : x
  2. Step 2: Convert to fraction form
    2,866.80/4,296.58 = 1,550.50/x
  3. Step 3: Cross multiply
    2,866.80x = 4,296.58 × 1,550.50
  4. Step 4: Simplify right side
    2,866.80x = 6,661,847.29
  5. Step 5: Solve for x
    x = 6,661,847.29/2,866.80
  6. Step 6: Final answer
    x = 2,323.79

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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.