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Finding the Fourth Proportional to 2,150, 3,224.98 and 1,419.40

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Solution

The fourth proportional to 2,150, 3,224.98 and 1,419.40 is: 2,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150 : 3,224.98 = 1,419.40 : x
  2. Step 2: Convert to fraction form
    2,150/3,224.98 = 1,419.40/x
  3. Step 3: Cross multiply
    2,150x = 3,224.98 × 1,419.40
  4. Step 4: Simplify right side
    2,150x = 4,577,536.61
  5. Step 5: Solve for x
    x = 4,577,536.61/2,150
  6. Step 6: Final answer
    x = 2,129.09

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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.