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Finding the Fourth Proportional to 3,103.74, 4,653.72 and 2,131.20

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Solution

The fourth proportional to 3,103.74, 4,653.72 and 2,131.20 is: 3,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.74 : 4,653.72 = 2,131.20 : x
  2. Step 2: Convert to fraction form
    3,103.74/4,653.72 = 2,131.20/x
  3. Step 3: Cross multiply
    3,103.74x = 4,653.72 × 2,131.20
  4. Step 4: Simplify right side
    3,103.74x = 9,918,008.06
  5. Step 5: Solve for x
    x = 9,918,008.06/3,103.74
  6. Step 6: Final answer
    x = 3,195.50

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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.