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Finding the Fourth Proportional to 2,849.98, 4,254.34 and 2,462.47

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Solution

The fourth proportional to 2,849.98, 4,254.34 and 2,462.47 is: 3,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.98 : 4,254.34 = 2,462.47 : x
  2. Step 2: Convert to fraction form
    2,849.98/4,254.34 = 2,462.47/x
  3. Step 3: Cross multiply
    2,849.98x = 4,254.34 × 2,462.47
  4. Step 4: Simplify right side
    2,849.98x = 10,476,172.44
  5. Step 5: Solve for x
    x = 10,476,172.44/2,849.98
  6. Step 6: Final answer
    x = 3,675.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.