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Finding the Fourth Proportional to 1,342.27, 2,013.80 and 905.27

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Solution

The fourth proportional to 1,342.27, 2,013.80 and 905.27 is: 1,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.27 : 2,013.80 = 905.27 : x
  2. Step 2: Convert to fraction form
    1,342.27/2,013.80 = 905.27/x
  3. Step 3: Cross multiply
    1,342.27x = 2,013.80 × 905.27
  4. Step 4: Simplify right side
    1,342.27x = 1,823,028.20
  5. Step 5: Solve for x
    x = 1,823,028.20/1,342.27
  6. Step 6: Final answer
    x = 1,358.17

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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.