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Finding the Fourth Proportional to 2,113, 3,163.10 and 1,453.48

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Solution

The fourth proportional to 2,113, 3,163.10 and 1,453.48 is: 2,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113 : 3,163.10 = 1,453.48 : x
  2. Step 2: Convert to fraction form
    2,113/3,163.10 = 1,453.48/x
  3. Step 3: Cross multiply
    2,113x = 3,163.10 × 1,453.48
  4. Step 4: Simplify right side
    2,113x = 4,597,502.59
  5. Step 5: Solve for x
    x = 4,597,502.59/2,113
  6. Step 6: Final answer
    x = 2,175.82

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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.