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Finding the Fourth Proportional to 2,367.46, 3,549.51 and 905.38

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Solution

The fourth proportional to 2,367.46, 3,549.51 and 905.38 is: 1,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.46 : 3,549.51 = 905.38 : x
  2. Step 2: Convert to fraction form
    2,367.46/3,549.51 = 905.38/x
  3. Step 3: Cross multiply
    2,367.46x = 3,549.51 × 905.38
  4. Step 4: Simplify right side
    2,367.46x = 3,213,655.36
  5. Step 5: Solve for x
    x = 3,213,655.36/2,367.46
  6. Step 6: Final answer
    x = 1,357.43

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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.