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Finding the Fourth Proportional to 2,086.87, 3,125.70 and 1,427.19

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Solution

The fourth proportional to 2,086.87, 3,125.70 and 1,427.19 is: 2,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.87 : 3,125.70 = 1,427.19 : x
  2. Step 2: Convert to fraction form
    2,086.87/3,125.70 = 1,427.19/x
  3. Step 3: Cross multiply
    2,086.87x = 3,125.70 × 1,427.19
  4. Step 4: Simplify right side
    2,086.87x = 4,460,945.02
  5. Step 5: Solve for x
    x = 4,460,945.02/2,086.87
  6. Step 6: Final answer
    x = 2,137.62

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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.