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Finding the Fourth Proportional to 2,334.57, 3,221.74 and 1,286.63

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Solution

The fourth proportional to 2,334.57, 3,221.74 and 1,286.63 is: 1,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.57 : 3,221.74 = 1,286.63 : x
  2. Step 2: Convert to fraction form
    2,334.57/3,221.74 = 1,286.63/x
  3. Step 3: Cross multiply
    2,334.57x = 3,221.74 × 1,286.63
  4. Step 4: Simplify right side
    2,334.57x = 4,145,187.34
  5. Step 5: Solve for x
    x = 4,145,187.34/2,334.57
  6. Step 6: Final answer
    x = 1,775.57

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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.