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Finding the Fourth Proportional to 2,442.02, 3,660.66 and 797.45

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Solution

The fourth proportional to 2,442.02, 3,660.66 and 797.45 is: 1,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.02 : 3,660.66 = 797.45 : x
  2. Step 2: Convert to fraction form
    2,442.02/3,660.66 = 797.45/x
  3. Step 3: Cross multiply
    2,442.02x = 3,660.66 × 797.45
  4. Step 4: Simplify right side
    2,442.02x = 2,919,175.01
  5. Step 5: Solve for x
    x = 2,919,175.01/2,442.02
  6. Step 6: Final answer
    x = 1,195.40

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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.