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Finding the Fourth Proportional to 2,642.23, 3,964.98 and 998.56

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Solution

The fourth proportional to 2,642.23, 3,964.98 and 998.56 is: 1,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.23 : 3,964.98 = 998.56 : x
  2. Step 2: Convert to fraction form
    2,642.23/3,964.98 = 998.56/x
  3. Step 3: Cross multiply
    2,642.23x = 3,964.98 × 998.56
  4. Step 4: Simplify right side
    2,642.23x = 3,959,250.60
  5. Step 5: Solve for x
    x = 3,959,250.60/2,642.23
  6. Step 6: Final answer
    x = 1,498.45

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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.