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Finding the Fourth Proportional to 2,856.34, 3,940.58 and 1,861.25

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Solution

The fourth proportional to 2,856.34, 3,940.58 and 1,861.25 is: 2,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.34 : 3,940.58 = 1,861.25 : x
  2. Step 2: Convert to fraction form
    2,856.34/3,940.58 = 1,861.25/x
  3. Step 3: Cross multiply
    2,856.34x = 3,940.58 × 1,861.25
  4. Step 4: Simplify right side
    2,856.34x = 7,334,404.53
  5. Step 5: Solve for x
    x = 7,334,404.53/2,856.34
  6. Step 6: Final answer
    x = 2,567.77

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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.