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Finding the Fourth Proportional to 3,003.60, 4,507.70 and 1,361.29

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Solution

The fourth proportional to 3,003.60, 4,507.70 and 1,361.29 is: 2,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.60 : 4,507.70 = 1,361.29 : x
  2. Step 2: Convert to fraction form
    3,003.60/4,507.70 = 1,361.29/x
  3. Step 3: Cross multiply
    3,003.60x = 4,507.70 × 1,361.29
  4. Step 4: Simplify right side
    3,003.60x = 6,136,286.93
  5. Step 5: Solve for x
    x = 6,136,286.93/3,003.60
  6. Step 6: Final answer
    x = 2,042.98

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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.