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Finding the Fourth Proportional to 2,324.76, 3,487.64 and 681.32

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Solution

The fourth proportional to 2,324.76, 3,487.64 and 681.32 is: 1,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.76 : 3,487.64 = 681.32 : x
  2. Step 2: Convert to fraction form
    2,324.76/3,487.64 = 681.32/x
  3. Step 3: Cross multiply
    2,324.76x = 3,487.64 × 681.32
  4. Step 4: Simplify right side
    2,324.76x = 2,376,198.88
  5. Step 5: Solve for x
    x = 2,376,198.88/2,324.76
  6. Step 6: Final answer
    x = 1,022.13

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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.