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Finding the Fourth Proportional to 2,286.59, 3,427.12 and 1,052.31

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Solution

The fourth proportional to 2,286.59, 3,427.12 and 1,052.31 is: 1,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.59 : 3,427.12 = 1,052.31 : x
  2. Step 2: Convert to fraction form
    2,286.59/3,427.12 = 1,052.31/x
  3. Step 3: Cross multiply
    2,286.59x = 3,427.12 × 1,052.31
  4. Step 4: Simplify right side
    2,286.59x = 3,606,392.65
  5. Step 5: Solve for x
    x = 3,606,392.65/2,286.59
  6. Step 6: Final answer
    x = 1,577.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.