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Finding the Fourth Proportional to 1,609.54, 2,398.23 and 1,538.78

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Solution

The fourth proportional to 1,609.54, 2,398.23 and 1,538.78 is: 2,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.54 : 2,398.23 = 1,538.78 : x
  2. Step 2: Convert to fraction form
    1,609.54/2,398.23 = 1,538.78/x
  3. Step 3: Cross multiply
    1,609.54x = 2,398.23 × 1,538.78
  4. Step 4: Simplify right side
    1,609.54x = 3,690,348.36
  5. Step 5: Solve for x
    x = 3,690,348.36/1,609.54
  6. Step 6: Final answer
    x = 2,292.80

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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.