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Finding the Fourth Proportional to 1,548.23, 2,322.42 and 611.18

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Solution

The fourth proportional to 1,548.23, 2,322.42 and 611.18 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.23 : 2,322.42 = 611.18 : x
  2. Step 2: Convert to fraction form
    1,548.23/2,322.42 = 611.18/x
  3. Step 3: Cross multiply
    1,548.23x = 2,322.42 × 611.18
  4. Step 4: Simplify right side
    1,548.23x = 1,419,401.99
  5. Step 5: Solve for x
    x = 1,419,401.99/1,548.23
  6. Step 6: Final answer
    x = 916.79

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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.