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Finding the Fourth Proportional to 1,630.36, 2,251.18 and 1,505.97

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Solution

The fourth proportional to 1,630.36, 2,251.18 and 1,505.97 is: 2,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.36 : 2,251.18 = 1,505.97 : x
  2. Step 2: Convert to fraction form
    1,630.36/2,251.18 = 1,505.97/x
  3. Step 3: Cross multiply
    1,630.36x = 2,251.18 × 1,505.97
  4. Step 4: Simplify right side
    1,630.36x = 3,390,198.29
  5. Step 5: Solve for x
    x = 3,390,198.29/1,630.36
  6. Step 6: Final answer
    x = 2,079.42

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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.