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Finding the Fourth Proportional to 2,856.60, 4,284.81 and 1,694.57

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Solution

The fourth proportional to 2,856.60, 4,284.81 and 1,694.57 is: 2,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.60 : 4,284.81 = 1,694.57 : x
  2. Step 2: Convert to fraction form
    2,856.60/4,284.81 = 1,694.57/x
  3. Step 3: Cross multiply
    2,856.60x = 4,284.81 × 1,694.57
  4. Step 4: Simplify right side
    2,856.60x = 7,260,889.06
  5. Step 5: Solve for x
    x = 7,260,889.06/2,856.60
  6. Step 6: Final answer
    x = 2,541.79

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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.