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Finding the Fourth Proportional to 2,213.87, 3,319.99 and 914.63

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Solution

The fourth proportional to 2,213.87, 3,319.99 and 914.63 is: 1,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.87 : 3,319.99 = 914.63 : x
  2. Step 2: Convert to fraction form
    2,213.87/3,319.99 = 914.63/x
  3. Step 3: Cross multiply
    2,213.87x = 3,319.99 × 914.63
  4. Step 4: Simplify right side
    2,213.87x = 3,036,543.57
  5. Step 5: Solve for x
    x = 3,036,543.57/2,213.87
  6. Step 6: Final answer
    x = 1,371.60

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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.