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Finding the Fourth Proportional to 2,393.48, 3,581.19 and 2,150.68

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Solution

The fourth proportional to 2,393.48, 3,581.19 and 2,150.68 is: 3,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.48 : 3,581.19 = 2,150.68 : x
  2. Step 2: Convert to fraction form
    2,393.48/3,581.19 = 2,150.68/x
  3. Step 3: Cross multiply
    2,393.48x = 3,581.19 × 2,150.68
  4. Step 4: Simplify right side
    2,393.48x = 7,701,984.76
  5. Step 5: Solve for x
    x = 7,701,984.76/2,393.48
  6. Step 6: Final answer
    x = 3,217.91

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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.