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Finding the Fourth Proportional to 1,442.22, 2,163.36 and 402.22

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Solution

The fourth proportional to 1,442.22, 2,163.36 and 402.22 is: 603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.22 : 2,163.36 = 402.22 : x
  2. Step 2: Convert to fraction form
    1,442.22/2,163.36 = 402.22/x
  3. Step 3: Cross multiply
    1,442.22x = 2,163.36 × 402.22
  4. Step 4: Simplify right side
    1,442.22x = 870,146.66
  5. Step 5: Solve for x
    x = 870,146.66/1,442.22
  6. Step 6: Final answer
    x = 603.34

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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.