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Finding the Fourth Proportional to 1,463.69, 2,192.08 and 1,270.27

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Solution

The fourth proportional to 1,463.69, 2,192.08 and 1,270.27 is: 1,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.69 : 2,192.08 = 1,270.27 : x
  2. Step 2: Convert to fraction form
    1,463.69/2,192.08 = 1,270.27/x
  3. Step 3: Cross multiply
    1,463.69x = 2,192.08 × 1,270.27
  4. Step 4: Simplify right side
    1,463.69x = 2,784,523.08
  5. Step 5: Solve for x
    x = 2,784,523.08/1,463.69
  6. Step 6: Final answer
    x = 1,902.40

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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.