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Finding the Fourth Proportional to 3,115.90, 4,299.42 and 1,856.80

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Solution

The fourth proportional to 3,115.90, 4,299.42 and 1,856.80 is: 2,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.90 : 4,299.42 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    3,115.90/4,299.42 = 1,856.80/x
  3. Step 3: Cross multiply
    3,115.90x = 4,299.42 × 1,856.80
  4. Step 4: Simplify right side
    3,115.90x = 7,983,163.06
  5. Step 5: Solve for x
    x = 7,983,163.06/3,115.90
  6. Step 6: Final answer
    x = 2,562.07

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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.