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Finding the Fourth Proportional to 2,641.60, 3,652.37 and 2,313.55

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Solution

The fourth proportional to 2,641.60, 3,652.37 and 2,313.55 is: 3,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.60 : 3,652.37 = 2,313.55 : x
  2. Step 2: Convert to fraction form
    2,641.60/3,652.37 = 2,313.55/x
  3. Step 3: Cross multiply
    2,641.60x = 3,652.37 × 2,313.55
  4. Step 4: Simplify right side
    2,641.60x = 8,449,940.61
  5. Step 5: Solve for x
    x = 8,449,940.61/2,641.60
  6. Step 6: Final answer
    x = 3,198.80

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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.