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Finding the Fourth Proportional to 1,322.92, 1,822.20 and 923.88

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Solution

The fourth proportional to 1,322.92, 1,822.20 and 923.88 is: 1,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.92 : 1,822.20 = 923.88 : x
  2. Step 2: Convert to fraction form
    1,322.92/1,822.20 = 923.88/x
  3. Step 3: Cross multiply
    1,322.92x = 1,822.20 × 923.88
  4. Step 4: Simplify right side
    1,322.92x = 1,683,494.14
  5. Step 5: Solve for x
    x = 1,683,494.14/1,322.92
  6. Step 6: Final answer
    x = 1,272.56

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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.