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Finding the Fourth Proportional to 2,286.63, 3,146.85 and 2,188.22

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Solution

The fourth proportional to 2,286.63, 3,146.85 and 2,188.22 is: 3,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.63 : 3,146.85 = 2,188.22 : x
  2. Step 2: Convert to fraction form
    2,286.63/3,146.85 = 2,188.22/x
  3. Step 3: Cross multiply
    2,286.63x = 3,146.85 × 2,188.22
  4. Step 4: Simplify right side
    2,286.63x = 6,885,984.37
  5. Step 5: Solve for x
    x = 6,885,984.37/2,286.63
  6. Step 6: Final answer
    x = 3,011.41

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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.