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Finding the Fourth Proportional to 2,882.77, 4,324.79 and 935.17

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Solution

The fourth proportional to 2,882.77, 4,324.79 and 935.17 is: 1,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.77 : 4,324.79 = 935.17 : x
  2. Step 2: Convert to fraction form
    2,882.77/4,324.79 = 935.17/x
  3. Step 3: Cross multiply
    2,882.77x = 4,324.79 × 935.17
  4. Step 4: Simplify right side
    2,882.77x = 4,044,413.86
  5. Step 5: Solve for x
    x = 4,044,413.86/2,882.77
  6. Step 6: Final answer
    x = 1,402.96

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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.