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Finding the Fourth Proportional to 2,642.87, 3,964.89 and 999.43

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Solution

The fourth proportional to 2,642.87, 3,964.89 and 999.43 is: 1,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.87 : 3,964.89 = 999.43 : x
  2. Step 2: Convert to fraction form
    2,642.87/3,964.89 = 999.43/x
  3. Step 3: Cross multiply
    2,642.87x = 3,964.89 × 999.43
  4. Step 4: Simplify right side
    2,642.87x = 3,962,631.22
  5. Step 5: Solve for x
    x = 3,962,631.22/2,642.87
  6. Step 6: Final answer
    x = 1,499.37

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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.