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Finding the Fourth Proportional to 2,285.80, 3,431.40 and 2,269.60

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Solution

The fourth proportional to 2,285.80, 3,431.40 and 2,269.60 is: 3,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.80 : 3,431.40 = 2,269.60 : x
  2. Step 2: Convert to fraction form
    2,285.80/3,431.40 = 2,269.60/x
  3. Step 3: Cross multiply
    2,285.80x = 3,431.40 × 2,269.60
  4. Step 4: Simplify right side
    2,285.80x = 7,787,905.44
  5. Step 5: Solve for x
    x = 7,787,905.44/2,285.80
  6. Step 6: Final answer
    x = 3,407.08

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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.