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Finding the Fourth Proportional to 1,662.27, 2,293.81 and 999.49

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Solution

The fourth proportional to 1,662.27, 2,293.81 and 999.49 is: 1,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.27 : 2,293.81 = 999.49 : x
  2. Step 2: Convert to fraction form
    1,662.27/2,293.81 = 999.49/x
  3. Step 3: Cross multiply
    1,662.27x = 2,293.81 × 999.49
  4. Step 4: Simplify right side
    1,662.27x = 2,292,623.69
  5. Step 5: Solve for x
    x = 2,292,623.69/1,662.27
  6. Step 6: Final answer
    x = 1,379.22

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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.