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Finding the Fourth Proportional to 1,631.53, 2,447.26 and 398.91

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Solution

The fourth proportional to 1,631.53, 2,447.26 and 398.91 is: 598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.53 : 2,447.26 = 398.91 : x
  2. Step 2: Convert to fraction form
    1,631.53/2,447.26 = 398.91/x
  3. Step 3: Cross multiply
    1,631.53x = 2,447.26 × 398.91
  4. Step 4: Simplify right side
    1,631.53x = 976,236.49
  5. Step 5: Solve for x
    x = 976,236.49/1,631.53
  6. Step 6: Final answer
    x = 598.36

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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.