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Finding the Fourth Proportional to 1,462.38, 2,193.96 and 488.34

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Solution

The fourth proportional to 1,462.38, 2,193.96 and 488.34 is: 732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.38 : 2,193.96 = 488.34 : x
  2. Step 2: Convert to fraction form
    1,462.38/2,193.96 = 488.34/x
  3. Step 3: Cross multiply
    1,462.38x = 2,193.96 × 488.34
  4. Step 4: Simplify right side
    1,462.38x = 1,071,398.43
  5. Step 5: Solve for x
    x = 1,071,398.43/1,462.38
  6. Step 6: Final answer
    x = 732.64

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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.