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Finding the Fourth Proportional to 2,883.16, 4,324.64 and 935.31

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Solution

The fourth proportional to 2,883.16, 4,324.64 and 935.31 is: 1,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.16 : 4,324.64 = 935.31 : x
  2. Step 2: Convert to fraction form
    2,883.16/4,324.64 = 935.31/x
  3. Step 3: Cross multiply
    2,883.16x = 4,324.64 × 935.31
  4. Step 4: Simplify right side
    2,883.16x = 4,044,879.04
  5. Step 5: Solve for x
    x = 4,044,879.04/2,883.16
  6. Step 6: Final answer
    x = 1,402.93

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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.