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Finding the Fourth Proportional to 1,405.46, 2,108.24 and 365.43

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Solution

The fourth proportional to 1,405.46, 2,108.24 and 365.43 is: 548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.46 : 2,108.24 = 365.43 : x
  2. Step 2: Convert to fraction form
    1,405.46/2,108.24 = 365.43/x
  3. Step 3: Cross multiply
    1,405.46x = 2,108.24 × 365.43
  4. Step 4: Simplify right side
    1,405.46x = 770,414.14
  5. Step 5: Solve for x
    x = 770,414.14/1,405.46
  6. Step 6: Final answer
    x = 548.16

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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.