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Finding the Fourth Proportional to 2,235.40, 3,353.70 and 1,993.60

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Solution

The fourth proportional to 2,235.40, 3,353.70 and 1,993.60 is: 2,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.40 : 3,353.70 = 1,993.60 : x
  2. Step 2: Convert to fraction form
    2,235.40/3,353.70 = 1,993.60/x
  3. Step 3: Cross multiply
    2,235.40x = 3,353.70 × 1,993.60
  4. Step 4: Simplify right side
    2,235.40x = 6,685,936.32
  5. Step 5: Solve for x
    x = 6,685,936.32/2,235.40
  6. Step 6: Final answer
    x = 2,990.94

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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.