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Finding the Fourth Proportional to 2,324.61, 3,487.73 and 864.18

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Solution

The fourth proportional to 2,324.61, 3,487.73 and 864.18 is: 1,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.61 : 3,487.73 = 864.18 : x
  2. Step 2: Convert to fraction form
    2,324.61/3,487.73 = 864.18/x
  3. Step 3: Cross multiply
    2,324.61x = 3,487.73 × 864.18
  4. Step 4: Simplify right side
    2,324.61x = 3,014,022.19
  5. Step 5: Solve for x
    x = 3,014,022.19/2,324.61
  6. Step 6: Final answer
    x = 1,296.57

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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.