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Finding the Fourth Proportional to 2,498.15, 3,728.22 and 2,221.37

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Solution

The fourth proportional to 2,498.15, 3,728.22 and 2,221.37 is: 3,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.15 : 3,728.22 = 2,221.37 : x
  2. Step 2: Convert to fraction form
    2,498.15/3,728.22 = 2,221.37/x
  3. Step 3: Cross multiply
    2,498.15x = 3,728.22 × 2,221.37
  4. Step 4: Simplify right side
    2,498.15x = 8,281,737.42
  5. Step 5: Solve for x
    x = 8,281,737.42/2,498.15
  6. Step 6: Final answer
    x = 3,315.15

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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.