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Finding the Fourth Proportional to 2,856.87, 3,939.84 and 1,861.65

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Solution

The fourth proportional to 2,856.87, 3,939.84 and 1,861.65 is: 2,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.87 : 3,939.84 = 1,861.65 : x
  2. Step 2: Convert to fraction form
    2,856.87/3,939.84 = 1,861.65/x
  3. Step 3: Cross multiply
    2,856.87x = 3,939.84 × 1,861.65
  4. Step 4: Simplify right side
    2,856.87x = 7,334,603.14
  5. Step 5: Solve for x
    x = 7,334,603.14/2,856.87
  6. Step 6: Final answer
    x = 2,567.36

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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.