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Finding the Fourth Proportional to 1,923.62, 2,654.88 and 1,425.56

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Solution

The fourth proportional to 1,923.62, 2,654.88 and 1,425.56 is: 1,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.62 : 2,654.88 = 1,425.56 : x
  2. Step 2: Convert to fraction form
    1,923.62/2,654.88 = 1,425.56/x
  3. Step 3: Cross multiply
    1,923.62x = 2,654.88 × 1,425.56
  4. Step 4: Simplify right side
    1,923.62x = 3,784,690.73
  5. Step 5: Solve for x
    x = 3,784,690.73/1,923.62
  6. Step 6: Final answer
    x = 1,967.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.