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Finding the Fourth Proportional to 2,107.44, 3,157.70 and 1,488.14

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Solution

The fourth proportional to 2,107.44, 3,157.70 and 1,488.14 is: 2,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.44 : 3,157.70 = 1,488.14 : x
  2. Step 2: Convert to fraction form
    2,107.44/3,157.70 = 1,488.14/x
  3. Step 3: Cross multiply
    2,107.44x = 3,157.70 × 1,488.14
  4. Step 4: Simplify right side
    2,107.44x = 4,699,099.68
  5. Step 5: Solve for x
    x = 4,699,099.68/2,107.44
  6. Step 6: Final answer
    x = 2,229.77

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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.