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Finding the Fourth Proportional to 2,324.67, 3,485.93 and 863.43

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Solution

The fourth proportional to 2,324.67, 3,485.93 and 863.43 is: 1,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.67 : 3,485.93 = 863.43 : x
  2. Step 2: Convert to fraction form
    2,324.67/3,485.93 = 863.43/x
  3. Step 3: Cross multiply
    2,324.67x = 3,485.93 × 863.43
  4. Step 4: Simplify right side
    2,324.67x = 3,009,852.22
  5. Step 5: Solve for x
    x = 3,009,852.22/2,324.67
  6. Step 6: Final answer
    x = 1,294.74

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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.