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Finding the Fourth Proportional to 2,113.16, 3,163.26 and 1,381.16

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Solution

The fourth proportional to 2,113.16, 3,163.26 and 1,381.16 is: 2,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.16 : 3,163.26 = 1,381.16 : x
  2. Step 2: Convert to fraction form
    2,113.16/3,163.26 = 1,381.16/x
  3. Step 3: Cross multiply
    2,113.16x = 3,163.26 × 1,381.16
  4. Step 4: Simplify right side
    2,113.16x = 4,368,968.18
  5. Step 5: Solve for x
    x = 4,368,968.18/2,113.16
  6. Step 6: Final answer
    x = 2,067.50

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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.