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Finding the Fourth Proportional to 2,074.97, 2,866.19 and 1,550.09

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Solution

The fourth proportional to 2,074.97, 2,866.19 and 1,550.09 is: 2,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.97 : 2,866.19 = 1,550.09 : x
  2. Step 2: Convert to fraction form
    2,074.97/2,866.19 = 1,550.09/x
  3. Step 3: Cross multiply
    2,074.97x = 2,866.19 × 1,550.09
  4. Step 4: Simplify right side
    2,074.97x = 4,442,852.46
  5. Step 5: Solve for x
    x = 4,442,852.46/2,074.97
  6. Step 6: Final answer
    x = 2,141.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.