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Finding the Fourth Proportional to 2,642.98, 3,964.56 and 999.13

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Solution

The fourth proportional to 2,642.98, 3,964.56 and 999.13 is: 1,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.98 : 3,964.56 = 999.13 : x
  2. Step 2: Convert to fraction form
    2,642.98/3,964.56 = 999.13/x
  3. Step 3: Cross multiply
    2,642.98x = 3,964.56 × 999.13
  4. Step 4: Simplify right side
    2,642.98x = 3,961,110.83
  5. Step 5: Solve for x
    x = 3,961,110.83/2,642.98
  6. Step 6: Final answer
    x = 1,498.73

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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.