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Finding the Fourth Proportional to 2,167.12, 3,246.08 and 998.09

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Solution

The fourth proportional to 2,167.12, 3,246.08 and 998.09 is: 1,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.12 : 3,246.08 = 998.09 : x
  2. Step 2: Convert to fraction form
    2,167.12/3,246.08 = 998.09/x
  3. Step 3: Cross multiply
    2,167.12x = 3,246.08 × 998.09
  4. Step 4: Simplify right side
    2,167.12x = 3,239,863.76
  5. Step 5: Solve for x
    x = 3,239,863.76/2,167.12
  6. Step 6: Final answer
    x = 1,495.01

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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.