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Finding the Fourth Proportional to 2,442.44, 3,662.76 and 981.20

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Solution

The fourth proportional to 2,442.44, 3,662.76 and 981.20 is: 1,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.44 : 3,662.76 = 981.20 : x
  2. Step 2: Convert to fraction form
    2,442.44/3,662.76 = 981.20/x
  3. Step 3: Cross multiply
    2,442.44x = 3,662.76 × 981.20
  4. Step 4: Simplify right side
    2,442.44x = 3,593,900.11
  5. Step 5: Solve for x
    x = 3,593,900.11/2,442.44
  6. Step 6: Final answer
    x = 1,471.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.