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Finding the Fourth Proportional to 2,825.40, 4,230.90 and 2,695.80

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Solution

The fourth proportional to 2,825.40, 4,230.90 and 2,695.80 is: 4,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.40 : 4,230.90 = 2,695.80 : x
  2. Step 2: Convert to fraction form
    2,825.40/4,230.90 = 2,695.80/x
  3. Step 3: Cross multiply
    2,825.40x = 4,230.90 × 2,695.80
  4. Step 4: Simplify right side
    2,825.40x = 11,405,660.22
  5. Step 5: Solve for x
    x = 11,405,660.22/2,825.40
  6. Step 6: Final answer
    x = 4,036.83

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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.