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Finding the Fourth Proportional to 2,498.82, 3,748.23 and 2,134.32

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Solution

The fourth proportional to 2,498.82, 3,748.23 and 2,134.32 is: 3,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.82 : 3,748.23 = 2,134.32 : x
  2. Step 2: Convert to fraction form
    2,498.82/3,748.23 = 2,134.32/x
  3. Step 3: Cross multiply
    2,498.82x = 3,748.23 × 2,134.32
  4. Step 4: Simplify right side
    2,498.82x = 7,999,922.25
  5. Step 5: Solve for x
    x = 7,999,922.25/2,498.82
  6. Step 6: Final answer
    x = 3,201.48

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1.5x scale

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.