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Finding the Fourth Proportional to 2,098, 3,147 and 1,418.32

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Solution

The fourth proportional to 2,098, 3,147 and 1,418.32 is: 2,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 3,147 = 1,418.32 : x
  2. Step 2: Convert to fraction form
    2,098/3,147 = 1,418.32/x
  3. Step 3: Cross multiply
    2,098x = 3,147 × 1,418.32
  4. Step 4: Simplify right side
    2,098x = 4,463,453.04
  5. Step 5: Solve for x
    x = 4,463,453.04/2,098
  6. Step 6: Final answer
    x = 2,127.48

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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.