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Finding the Fourth Proportional to 2,838.33, 4,257.51 and 989.44

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Solution

The fourth proportional to 2,838.33, 4,257.51 and 989.44 is: 1,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.33 : 4,257.51 = 989.44 : x
  2. Step 2: Convert to fraction form
    2,838.33/4,257.51 = 989.44/x
  3. Step 3: Cross multiply
    2,838.33x = 4,257.51 × 989.44
  4. Step 4: Simplify right side
    2,838.33x = 4,212,545.75
  5. Step 5: Solve for x
    x = 4,212,545.75/2,838.33
  6. Step 6: Final answer
    x = 1,484.17

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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.