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Finding the Fourth Proportional to 1,322.89, 1,821.42 and 1,123.33

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Solution

The fourth proportional to 1,322.89, 1,821.42 and 1,123.33 is: 1,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.89 : 1,821.42 = 1,123.33 : x
  2. Step 2: Convert to fraction form
    1,322.89/1,821.42 = 1,123.33/x
  3. Step 3: Cross multiply
    1,322.89x = 1,821.42 × 1,123.33
  4. Step 4: Simplify right side
    1,322.89x = 2,046,055.39
  5. Step 5: Solve for x
    x = 2,046,055.39/1,322.89
  6. Step 6: Final answer
    x = 1,546.65

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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.