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Finding the Fourth Proportional to 2,883.86, 4,324.88 and 935.66

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Solution

The fourth proportional to 2,883.86, 4,324.88 and 935.66 is: 1,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.86 : 4,324.88 = 935.66 : x
  2. Step 2: Convert to fraction form
    2,883.86/4,324.88 = 935.66/x
  3. Step 3: Cross multiply
    2,883.86x = 4,324.88 × 935.66
  4. Step 4: Simplify right side
    2,883.86x = 4,046,617.22
  5. Step 5: Solve for x
    x = 4,046,617.22/2,883.86
  6. Step 6: Final answer
    x = 1,403.19

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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.