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Finding the Fourth Proportional to 1,647.72, 2,466.77 and 865.86

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Solution

The fourth proportional to 1,647.72, 2,466.77 and 865.86 is: 1,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.72 : 2,466.77 = 865.86 : x
  2. Step 2: Convert to fraction form
    1,647.72/2,466.77 = 865.86/x
  3. Step 3: Cross multiply
    1,647.72x = 2,466.77 × 865.86
  4. Step 4: Simplify right side
    1,647.72x = 2,135,873.14
  5. Step 5: Solve for x
    x = 2,135,873.14/1,647.72
  6. Step 6: Final answer
    x = 1,296.26

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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.