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Finding the Fourth Proportional to 3,442.74, 5,160.66 and 1,361.62

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Solution

The fourth proportional to 3,442.74, 5,160.66 and 1,361.62 is: 2,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.74 : 5,160.66 = 1,361.62 : x
  2. Step 2: Convert to fraction form
    3,442.74/5,160.66 = 1,361.62/x
  3. Step 3: Cross multiply
    3,442.74x = 5,160.66 × 1,361.62
  4. Step 4: Simplify right side
    3,442.74x = 7,026,857.87
  5. Step 5: Solve for x
    x = 7,026,857.87/3,442.74
  6. Step 6: Final answer
    x = 2,041.07

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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.