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Finding the Fourth Proportional to 3,203.46, 4,424.70 and 2,317.86

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Solution

The fourth proportional to 3,203.46, 4,424.70 and 2,317.86 is: 3,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.46 : 4,424.70 = 2,317.86 : x
  2. Step 2: Convert to fraction form
    3,203.46/4,424.70 = 2,317.86/x
  3. Step 3: Cross multiply
    3,203.46x = 4,424.70 × 2,317.86
  4. Step 4: Simplify right side
    3,203.46x = 10,255,835.14
  5. Step 5: Solve for x
    x = 10,255,835.14/3,203.46
  6. Step 6: Final answer
    x = 3,201.49

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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.