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Finding the Fourth Proportional to 2,195.68, 3,294 and 1,416.88

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Solution

The fourth proportional to 2,195.68, 3,294 and 1,416.88 is: 2,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.68 : 3,294 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    2,195.68/3,294 = 1,416.88/x
  3. Step 3: Cross multiply
    2,195.68x = 3,294 × 1,416.88
  4. Step 4: Simplify right side
    2,195.68x = 4,667,202.72
  5. Step 5: Solve for x
    x = 4,667,202.72/2,195.68
  6. Step 6: Final answer
    x = 2,125.63

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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.