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Finding the Fourth Proportional to 1,471.38, 2,199.12 and 1,354.62

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Solution

The fourth proportional to 1,471.38, 2,199.12 and 1,354.62 is: 2,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.38 : 2,199.12 = 1,354.62 : x
  2. Step 2: Convert to fraction form
    1,471.38/2,199.12 = 1,354.62/x
  3. Step 3: Cross multiply
    1,471.38x = 2,199.12 × 1,354.62
  4. Step 4: Simplify right side
    1,471.38x = 2,978,971.93
  5. Step 5: Solve for x
    x = 2,978,971.93/1,471.38
  6. Step 6: Final answer
    x = 2,024.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.