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Finding the Fourth Proportional to 2,856.43, 4,286.93 and 2,765.31

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Solution

The fourth proportional to 2,856.43, 4,286.93 and 2,765.31 is: 4,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.43 : 4,286.93 = 2,765.31 : x
  2. Step 2: Convert to fraction form
    2,856.43/4,286.93 = 2,765.31/x
  3. Step 3: Cross multiply
    2,856.43x = 4,286.93 × 2,765.31
  4. Step 4: Simplify right side
    2,856.43x = 11,854,655.14
  5. Step 5: Solve for x
    x = 11,854,655.14/2,856.43
  6. Step 6: Final answer
    x = 4,150.16

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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.