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Finding the Fourth Proportional to 2,463.36, 3,694.68 and 924

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Solution

The fourth proportional to 2,463.36, 3,694.68 and 924 is: 1,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.36 : 3,694.68 = 924 : x
  2. Step 2: Convert to fraction form
    2,463.36/3,694.68 = 924/x
  3. Step 3: Cross multiply
    2,463.36x = 3,694.68 × 924
  4. Step 4: Simplify right side
    2,463.36x = 3,413,884.32
  5. Step 5: Solve for x
    x = 3,413,884.32/2,463.36
  6. Step 6: Final answer
    x = 1,385.86

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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.