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Finding the Fourth Proportional to 1,967.73, 2,715.64 and 1,083.70

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Solution

The fourth proportional to 1,967.73, 2,715.64 and 1,083.70 is: 1,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.73 : 2,715.64 = 1,083.70 : x
  2. Step 2: Convert to fraction form
    1,967.73/2,715.64 = 1,083.70/x
  3. Step 3: Cross multiply
    1,967.73x = 2,715.64 × 1,083.70
  4. Step 4: Simplify right side
    1,967.73x = 2,942,948.91
  5. Step 5: Solve for x
    x = 2,942,948.91/1,967.73
  6. Step 6: Final answer
    x = 1,495.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.