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Finding the Fourth Proportional to 3,006.44, 4,509.66 and 1,362.68

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Solution

The fourth proportional to 3,006.44, 4,509.66 and 1,362.68 is: 2,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.44 : 4,509.66 = 1,362.68 : x
  2. Step 2: Convert to fraction form
    3,006.44/4,509.66 = 1,362.68/x
  3. Step 3: Cross multiply
    3,006.44x = 4,509.66 × 1,362.68
  4. Step 4: Simplify right side
    3,006.44x = 6,145,223.49
  5. Step 5: Solve for x
    x = 6,145,223.49/3,006.44
  6. Step 6: Final answer
    x = 2,044.02

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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.