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Finding the Fourth Proportional to 2,213.70, 3,316.23 and 1,440.42

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Solution

The fourth proportional to 2,213.70, 3,316.23 and 1,440.42 is: 2,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.70 : 3,316.23 = 1,440.42 : x
  2. Step 2: Convert to fraction form
    2,213.70/3,316.23 = 1,440.42/x
  3. Step 3: Cross multiply
    2,213.70x = 3,316.23 × 1,440.42
  4. Step 4: Simplify right side
    2,213.70x = 4,776,764.02
  5. Step 5: Solve for x
    x = 4,776,764.02/2,213.70
  6. Step 6: Final answer
    x = 2,157.82

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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.