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Finding the Fourth Proportional to 1,342.11, 2,013.57 and 905.11

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Solution

The fourth proportional to 1,342.11, 2,013.57 and 905.11 is: 1,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.11 : 2,013.57 = 905.11 : x
  2. Step 2: Convert to fraction form
    1,342.11/2,013.57 = 905.11/x
  3. Step 3: Cross multiply
    1,342.11x = 2,013.57 × 905.11
  4. Step 4: Simplify right side
    1,342.11x = 1,822,502.34
  5. Step 5: Solve for x
    x = 1,822,502.34/1,342.11
  6. Step 6: Final answer
    x = 1,357.94

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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.