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Finding the Fourth Proportional to 2,213.32, 3,319.80 and 914.80

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Solution

The fourth proportional to 2,213.32, 3,319.80 and 914.80 is: 1,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.32 : 3,319.80 = 914.80 : x
  2. Step 2: Convert to fraction form
    2,213.32/3,319.80 = 914.80/x
  3. Step 3: Cross multiply
    2,213.32x = 3,319.80 × 914.80
  4. Step 4: Simplify right side
    2,213.32x = 3,036,953.04
  5. Step 5: Solve for x
    x = 3,036,953.04/2,213.32
  6. Step 6: Final answer
    x = 1,372.13

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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.