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Finding the Fourth Proportional to 3,203.70, 4,424.22 and 2,497.50

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Solution

The fourth proportional to 3,203.70, 4,424.22 and 2,497.50 is: 3,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.70 : 4,424.22 = 2,497.50 : x
  2. Step 2: Convert to fraction form
    3,203.70/4,424.22 = 2,497.50/x
  3. Step 3: Cross multiply
    3,203.70x = 4,424.22 × 2,497.50
  4. Step 4: Simplify right side
    3,203.70x = 11,049,489.45
  5. Step 5: Solve for x
    x = 11,049,489.45/3,203.70
  6. Step 6: Final answer
    x = 3,448.98

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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.