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Finding the Fourth Proportional to 2,855.30, 3,932.98 and 2,014.52

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Solution

The fourth proportional to 2,855.30, 3,932.98 and 2,014.52 is: 2,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.30 : 3,932.98 = 2,014.52 : x
  2. Step 2: Convert to fraction form
    2,855.30/3,932.98 = 2,014.52/x
  3. Step 3: Cross multiply
    2,855.30x = 3,932.98 × 2,014.52
  4. Step 4: Simplify right side
    2,855.30x = 7,923,066.87
  5. Step 5: Solve for x
    x = 7,923,066.87/2,855.30
  6. Step 6: Final answer
    x = 2,774.86

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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.