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Finding the Fourth Proportional to 2,856.59, 3,940.94 and 1,861.50

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Solution

The fourth proportional to 2,856.59, 3,940.94 and 1,861.50 is: 2,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.59 : 3,940.94 = 1,861.50 : x
  2. Step 2: Convert to fraction form
    2,856.59/3,940.94 = 1,861.50/x
  3. Step 3: Cross multiply
    2,856.59x = 3,940.94 × 1,861.50
  4. Step 4: Simplify right side
    2,856.59x = 7,336,050.50
  5. Step 5: Solve for x
    x = 7,336,050.50/2,856.59
  6. Step 6: Final answer
    x = 2,568.12

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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.