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Finding the Fourth Proportional to 3,006.48, 4,509.63 and 1,361.82

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Solution

The fourth proportional to 3,006.48, 4,509.63 and 1,361.82 is: 2,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.48 : 4,509.63 = 1,361.82 : x
  2. Step 2: Convert to fraction form
    3,006.48/4,509.63 = 1,361.82/x
  3. Step 3: Cross multiply
    3,006.48x = 4,509.63 × 1,361.82
  4. Step 4: Simplify right side
    3,006.48x = 6,141,304.33
  5. Step 5: Solve for x
    x = 6,141,304.33/3,006.48
  6. Step 6: Final answer
    x = 2,042.69

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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.