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Finding the Fourth Proportional to 2,462.88, 3,672.96 and 2,100

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Solution

The fourth proportional to 2,462.88, 3,672.96 and 2,100 is: 3,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.88 : 3,672.96 = 2,100 : x
  2. Step 2: Convert to fraction form
    2,462.88/3,672.96 = 2,100/x
  3. Step 3: Cross multiply
    2,462.88x = 3,672.96 × 2,100
  4. Step 4: Simplify right side
    2,462.88x = 7,713,216
  5. Step 5: Solve for x
    x = 7,713,216/2,462.88
  6. Step 6: Final answer
    x = 3,131.79

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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.