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Finding the Fourth Proportional to 1,664.38, 2,496.56 and 448.38

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Solution

The fourth proportional to 1,664.38, 2,496.56 and 448.38 is: 672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.38 : 2,496.56 = 448.38 : x
  2. Step 2: Convert to fraction form
    1,664.38/2,496.56 = 448.38/x
  3. Step 3: Cross multiply
    1,664.38x = 2,496.56 × 448.38
  4. Step 4: Simplify right side
    1,664.38x = 1,119,396.21
  5. Step 5: Solve for x
    x = 1,119,396.21/1,664.38
  6. Step 6: Final answer
    x = 672.56

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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.