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Finding the Fourth Proportional to 3,006.84, 4,510.22 and 1,033.85

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Solution

The fourth proportional to 3,006.84, 4,510.22 and 1,033.85 is: 1,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.84 : 4,510.22 = 1,033.85 : x
  2. Step 2: Convert to fraction form
    3,006.84/4,510.22 = 1,033.85/x
  3. Step 3: Cross multiply
    3,006.84x = 4,510.22 × 1,033.85
  4. Step 4: Simplify right side
    3,006.84x = 4,662,863.23
  5. Step 5: Solve for x
    x = 4,662,863.23/3,006.84
  6. Step 6: Final answer
    x = 1,550.75

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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.