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Finding the Fourth Proportional to 2,856.64, 4,286.58 and 1,883.20

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Solution

The fourth proportional to 2,856.64, 4,286.58 and 1,883.20 is: 2,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.64 : 4,286.58 = 1,883.20 : x
  2. Step 2: Convert to fraction form
    2,856.64/4,286.58 = 1,883.20/x
  3. Step 3: Cross multiply
    2,856.64x = 4,286.58 × 1,883.20
  4. Step 4: Simplify right side
    2,856.64x = 8,072,487.46
  5. Step 5: Solve for x
    x = 8,072,487.46/2,856.64
  6. Step 6: Final answer
    x = 2,825.87

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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.