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Finding the Fourth Proportional to 3,363, 5,044.50 and 931

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Solution

The fourth proportional to 3,363, 5,044.50 and 931 is: 1,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363 : 5,044.50 = 931 : x
  2. Step 2: Convert to fraction form
    3,363/5,044.50 = 931/x
  3. Step 3: Cross multiply
    3,363x = 5,044.50 × 931
  4. Step 4: Simplify right side
    3,363x = 4,696,429.50
  5. Step 5: Solve for x
    x = 4,696,429.50/3,363
  6. Step 6: Final answer
    x = 1,396.50

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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.