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Finding the Fourth Proportional to 3,029.69, 4,545.81 and 1,644

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Solution

The fourth proportional to 3,029.69, 4,545.81 and 1,644 is: 2,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.69 : 4,545.81 = 1,644 : x
  2. Step 2: Convert to fraction form
    3,029.69/4,545.81 = 1,644/x
  3. Step 3: Cross multiply
    3,029.69x = 4,545.81 × 1,644
  4. Step 4: Simplify right side
    3,029.69x = 7,473,311.64
  5. Step 5: Solve for x
    x = 7,473,311.64/3,029.69
  6. Step 6: Final answer
    x = 2,466.70

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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.