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Finding the Fourth Proportional to 2,647.13, 3,654.41 and 1,809

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Solution

The fourth proportional to 2,647.13, 3,654.41 and 1,809 is: 2,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.13 : 3,654.41 = 1,809 : x
  2. Step 2: Convert to fraction form
    2,647.13/3,654.41 = 1,809/x
  3. Step 3: Cross multiply
    2,647.13x = 3,654.41 × 1,809
  4. Step 4: Simplify right side
    2,647.13x = 6,610,818.65
  5. Step 5: Solve for x
    x = 6,610,818.65/2,647.13
  6. Step 6: Final answer
    x = 2,497.36

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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.