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Finding the Fourth Proportional to 3,102.49, 4,279.53 and 2,216.76

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Solution

The fourth proportional to 3,102.49, 4,279.53 and 2,216.76 is: 3,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.49 : 4,279.53 = 2,216.76 : x
  2. Step 2: Convert to fraction form
    3,102.49/4,279.53 = 2,216.76/x
  3. Step 3: Cross multiply
    3,102.49x = 4,279.53 × 2,216.76
  4. Step 4: Simplify right side
    3,102.49x = 9,486,690.92
  5. Step 5: Solve for x
    x = 9,486,690.92/3,102.49
  6. Step 6: Final answer
    x = 3,057.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.