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Finding the Fourth Proportional to 2,642.67, 3,964.86 and 999.36

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Solution

The fourth proportional to 2,642.67, 3,964.86 and 999.36 is: 1,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.67 : 3,964.86 = 999.36 : x
  2. Step 2: Convert to fraction form
    2,642.67/3,964.86 = 999.36/x
  3. Step 3: Cross multiply
    2,642.67x = 3,964.86 × 999.36
  4. Step 4: Simplify right side
    2,642.67x = 3,962,322.49
  5. Step 5: Solve for x
    x = 3,962,322.49/2,642.67
  6. Step 6: Final answer
    x = 1,499.36

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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.