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Finding the Fourth Proportional to 2,647, 3,652.86 and 1,468.26

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Solution

The fourth proportional to 2,647, 3,652.86 and 1,468.26 is: 2,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647 : 3,652.86 = 1,468.26 : x
  2. Step 2: Convert to fraction form
    2,647/3,652.86 = 1,468.26/x
  3. Step 3: Cross multiply
    2,647x = 3,652.86 × 1,468.26
  4. Step 4: Simplify right side
    2,647x = 5,363,348.22
  5. Step 5: Solve for x
    x = 5,363,348.22/2,647
  6. Step 6: Final answer
    x = 2,026.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.