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Finding the Fourth Proportional to 2,462.46, 3,690.24 and 2,095.80

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Solution

The fourth proportional to 2,462.46, 3,690.24 and 2,095.80 is: 3,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.46 : 3,690.24 = 2,095.80 : x
  2. Step 2: Convert to fraction form
    2,462.46/3,690.24 = 2,095.80/x
  3. Step 3: Cross multiply
    2,462.46x = 3,690.24 × 2,095.80
  4. Step 4: Simplify right side
    2,462.46x = 7,734,004.99
  5. Step 5: Solve for x
    x = 7,734,004.99/2,462.46
  6. Step 6: Final answer
    x = 3,140.76

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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.