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Finding the Fourth Proportional to 2,498.01, 3,728.00 and 2,221.22

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Solution

The fourth proportional to 2,498.01, 3,728.00 and 2,221.22 is: 3,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.01 : 3,728.00 = 2,221.22 : x
  2. Step 2: Convert to fraction form
    2,498.01/3,728.00 = 2,221.22/x
  3. Step 3: Cross multiply
    2,498.01x = 3,728.00 × 2,221.22
  4. Step 4: Simplify right side
    2,498.01x = 8,280,723.03
  5. Step 5: Solve for x
    x = 8,280,723.03/2,498.01
  6. Step 6: Final answer
    x = 3,314.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.