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Finding the Fourth Proportional to 2,086.87, 3,130.37 and 990.67

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Solution

The fourth proportional to 2,086.87, 3,130.37 and 990.67 is: 1,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.87 : 3,130.37 = 990.67 : x
  2. Step 2: Convert to fraction form
    2,086.87/3,130.37 = 990.67/x
  3. Step 3: Cross multiply
    2,086.87x = 3,130.37 × 990.67
  4. Step 4: Simplify right side
    2,086.87x = 3,101,143.04
  5. Step 5: Solve for x
    x = 3,101,143.04/2,086.87
  6. Step 6: Final answer
    x = 1,486.03

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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.