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Finding the Fourth Proportional to 1,375.28, 1,898.34 and 1,229.48

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Solution

The fourth proportional to 1,375.28, 1,898.34 and 1,229.48 is: 1,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.28 : 1,898.34 = 1,229.48 : x
  2. Step 2: Convert to fraction form
    1,375.28/1,898.34 = 1,229.48/x
  3. Step 3: Cross multiply
    1,375.28x = 1,898.34 × 1,229.48
  4. Step 4: Simplify right side
    1,375.28x = 2,333,971.06
  5. Step 5: Solve for x
    x = 2,333,971.06/1,375.28
  6. Step 6: Final answer
    x = 1,697.09

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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.