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Finding the Fourth Proportional to 2,203.40, 3,299.70 and 1,652.60

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Solution

The fourth proportional to 2,203.40, 3,299.70 and 1,652.60 is: 2,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.40 : 3,299.70 = 1,652.60 : x
  2. Step 2: Convert to fraction form
    2,203.40/3,299.70 = 1,652.60/x
  3. Step 3: Cross multiply
    2,203.40x = 3,299.70 × 1,652.60
  4. Step 4: Simplify right side
    2,203.40x = 5,453,084.22
  5. Step 5: Solve for x
    x = 5,453,084.22/2,203.40
  6. Step 6: Final answer
    x = 2,474.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.