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Finding the Fourth Proportional to 1,493.33, 2,059.74 and 1,213.56

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Solution

The fourth proportional to 1,493.33, 2,059.74 and 1,213.56 is: 1,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.33 : 2,059.74 = 1,213.56 : x
  2. Step 2: Convert to fraction form
    1,493.33/2,059.74 = 1,213.56/x
  3. Step 3: Cross multiply
    1,493.33x = 2,059.74 × 1,213.56
  4. Step 4: Simplify right side
    1,493.33x = 2,499,618.07
  5. Step 5: Solve for x
    x = 2,499,618.07/1,493.33
  6. Step 6: Final answer
    x = 1,673.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.