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Finding the Fourth Proportional to 2,203.60, 3,285.96 and 2,183.86

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Solution

The fourth proportional to 2,203.60, 3,285.96 and 2,183.86 is: 3,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.60 : 3,285.96 = 2,183.86 : x
  2. Step 2: Convert to fraction form
    2,203.60/3,285.96 = 2,183.86/x
  3. Step 3: Cross multiply
    2,203.60x = 3,285.96 × 2,183.86
  4. Step 4: Simplify right side
    2,203.60x = 7,176,076.61
  5. Step 5: Solve for x
    x = 7,176,076.61/2,203.60
  6. Step 6: Final answer
    x = 3,256.52

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