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Finding the Fourth Proportional to 2,250.94, 3,106.20 and 1,661.26

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Solution

The fourth proportional to 2,250.94, 3,106.20 and 1,661.26 is: 2,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.94 : 3,106.20 = 1,661.26 : x
  2. Step 2: Convert to fraction form
    2,250.94/3,106.20 = 1,661.26/x
  3. Step 3: Cross multiply
    2,250.94x = 3,106.20 × 1,661.26
  4. Step 4: Simplify right side
    2,250.94x = 5,160,205.81
  5. Step 5: Solve for x
    x = 5,160,205.81/2,250.94
  6. Step 6: Final answer
    x = 2,292.47

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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.