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Finding the Fourth Proportional to 2,068.20, 3,099.99 and 899.18

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Solution

The fourth proportional to 2,068.20, 3,099.99 and 899.18 is: 1,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.20 : 3,099.99 = 899.18 : x
  2. Step 2: Convert to fraction form
    2,068.20/3,099.99 = 899.18/x
  3. Step 3: Cross multiply
    2,068.20x = 3,099.99 × 899.18
  4. Step 4: Simplify right side
    2,068.20x = 2,787,433.78
  5. Step 5: Solve for x
    x = 2,787,433.78/2,068.20
  6. Step 6: Final answer
    x = 1,347.76

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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.