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Finding the Fourth Proportional to 2,442.12, 3,663.36 and 883.05

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Solution

The fourth proportional to 2,442.12, 3,663.36 and 883.05 is: 1,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.12 : 3,663.36 = 883.05 : x
  2. Step 2: Convert to fraction form
    2,442.12/3,663.36 = 883.05/x
  3. Step 3: Cross multiply
    2,442.12x = 3,663.36 × 883.05
  4. Step 4: Simplify right side
    2,442.12x = 3,234,930.05
  5. Step 5: Solve for x
    x = 3,234,930.05/2,442.12
  6. Step 6: Final answer
    x = 1,324.64

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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.