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Finding the Fourth Proportional to 2,883.69, 4,324.62 and 935.43

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Solution

The fourth proportional to 2,883.69, 4,324.62 and 935.43 is: 1,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.69 : 4,324.62 = 935.43 : x
  2. Step 2: Convert to fraction form
    2,883.69/4,324.62 = 935.43/x
  3. Step 3: Cross multiply
    2,883.69x = 4,324.62 × 935.43
  4. Step 4: Simplify right side
    2,883.69x = 4,045,379.29
  5. Step 5: Solve for x
    x = 4,045,379.29/2,883.69
  6. Step 6: Final answer
    x = 1,402.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.