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Finding the Fourth Proportional to 2,324.06, 3,486.36 and 863.36

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Solution

The fourth proportional to 2,324.06, 3,486.36 and 863.36 is: 1,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.06 : 3,486.36 = 863.36 : x
  2. Step 2: Convert to fraction form
    2,324.06/3,486.36 = 863.36/x
  3. Step 3: Cross multiply
    2,324.06x = 3,486.36 × 863.36
  4. Step 4: Simplify right side
    2,324.06x = 3,009,966.34
  5. Step 5: Solve for x
    x = 3,009,966.34/2,324.06
  6. Step 6: Final answer
    x = 1,295.14

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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.