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Finding the Fourth Proportional to 2,213.87, 3,321 and 1,353.65

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Solution

The fourth proportional to 2,213.87, 3,321 and 1,353.65 is: 2,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.87 : 3,321 = 1,353.65 : x
  2. Step 2: Convert to fraction form
    2,213.87/3,321 = 1,353.65/x
  3. Step 3: Cross multiply
    2,213.87x = 3,321 × 1,353.65
  4. Step 4: Simplify right side
    2,213.87x = 4,495,455.05
  5. Step 5: Solve for x
    x = 4,495,455.05/2,213.87
  6. Step 6: Final answer
    x = 2,030.59

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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.