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Finding the Fourth Proportional to 4,462.40, 6,690.90 and 1,996.76

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Solution

The fourth proportional to 4,462.40, 6,690.90 and 1,996.76 is: 2,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.40 : 6,690.90 = 1,996.76 : x
  2. Step 2: Convert to fraction form
    4,462.40/6,690.90 = 1,996.76/x
  3. Step 3: Cross multiply
    4,462.40x = 6,690.90 × 1,996.76
  4. Step 4: Simplify right side
    4,462.40x = 13,360,121.48
  5. Step 5: Solve for x
    x = 13,360,121.48/4,462.40
  6. Step 6: Final answer
    x = 2,993.93

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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.