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Finding the Fourth Proportional to 3,033.69, 4,551.81 and 1,648

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Solution

The fourth proportional to 3,033.69, 4,551.81 and 1,648 is: 2,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.69 : 4,551.81 = 1,648 : x
  2. Step 2: Convert to fraction form
    3,033.69/4,551.81 = 1,648/x
  3. Step 3: Cross multiply
    3,033.69x = 4,551.81 × 1,648
  4. Step 4: Simplify right side
    3,033.69x = 7,501,382.88
  5. Step 5: Solve for x
    x = 7,501,382.88/3,033.69
  6. Step 6: Final answer
    x = 2,472.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.