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Finding the Fourth Proportional to 1,852.77, 2,550.78 and 1,619.76

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Solution

The fourth proportional to 1,852.77, 2,550.78 and 1,619.76 is: 2,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.77 : 2,550.78 = 1,619.76 : x
  2. Step 2: Convert to fraction form
    1,852.77/2,550.78 = 1,619.76/x
  3. Step 3: Cross multiply
    1,852.77x = 2,550.78 × 1,619.76
  4. Step 4: Simplify right side
    1,852.77x = 4,131,651.41
  5. Step 5: Solve for x
    x = 4,131,651.41/1,852.77
  6. Step 6: Final answer
    x = 2,229.99

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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.