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Finding the Fourth Proportional to 2,100, 3,150.24 and 1,074.24

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Solution

The fourth proportional to 2,100, 3,150.24 and 1,074.24 is: 1,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100 : 3,150.24 = 1,074.24 : x
  2. Step 2: Convert to fraction form
    2,100/3,150.24 = 1,074.24/x
  3. Step 3: Cross multiply
    2,100x = 3,150.24 × 1,074.24
  4. Step 4: Simplify right side
    2,100x = 3,384,113.82
  5. Step 5: Solve for x
    x = 3,384,113.82/2,100
  6. Step 6: Final answer
    x = 1,611.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.