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Finding the Fourth Proportional to 2,324.56, 3,486.12 and 862.96

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Solution

The fourth proportional to 2,324.56, 3,486.12 and 862.96 is: 1,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.56 : 3,486.12 = 862.96 : x
  2. Step 2: Convert to fraction form
    2,324.56/3,486.12 = 862.96/x
  3. Step 3: Cross multiply
    2,324.56x = 3,486.12 × 862.96
  4. Step 4: Simplify right side
    2,324.56x = 3,008,382.12
  5. Step 5: Solve for x
    x = 3,008,382.12/2,324.56
  6. Step 6: Final answer
    x = 1,294.17

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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.