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Finding the Fourth Proportional to 2,212.10, 3,314.03 and 1,508.90

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Solution

The fourth proportional to 2,212.10, 3,314.03 and 1,508.90 is: 2,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.10 : 3,314.03 = 1,508.90 : x
  2. Step 2: Convert to fraction form
    2,212.10/3,314.03 = 1,508.90/x
  3. Step 3: Cross multiply
    2,212.10x = 3,314.03 × 1,508.90
  4. Step 4: Simplify right side
    2,212.10x = 5,000,539.87
  5. Step 5: Solve for x
    x = 5,000,539.87/2,212.10
  6. Step 6: Final answer
    x = 2,260.54

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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.