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Finding the Fourth Proportional to 2,803.90, 4,199.73 and 2,311.42

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Solution

The fourth proportional to 2,803.90, 4,199.73 and 2,311.42 is: 3,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.90 : 4,199.73 = 2,311.42 : x
  2. Step 2: Convert to fraction form
    2,803.90/4,199.73 = 2,311.42/x
  3. Step 3: Cross multiply
    2,803.90x = 4,199.73 × 2,311.42
  4. Step 4: Simplify right side
    2,803.90x = 9,707,339.92
  5. Step 5: Solve for x
    x = 9,707,339.92/2,803.90
  6. Step 6: Final answer
    x = 3,462.08

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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.