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Finding the Fourth Proportional to 1,353.52, 1,867.89 and 822.22

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Solution

The fourth proportional to 1,353.52, 1,867.89 and 822.22 is: 1,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.52 : 1,867.89 = 822.22 : x
  2. Step 2: Convert to fraction form
    1,353.52/1,867.89 = 822.22/x
  3. Step 3: Cross multiply
    1,353.52x = 1,867.89 × 822.22
  4. Step 4: Simplify right side
    1,353.52x = 1,535,810.30
  5. Step 5: Solve for x
    x = 1,535,810.30/1,353.52
  6. Step 6: Final answer
    x = 1,134.68

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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.