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Finding the Fourth Proportional to 2,232.08, 3,345.38 and 998.26

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Solution

The fourth proportional to 2,232.08, 3,345.38 and 998.26 is: 1,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.08 : 3,345.38 = 998.26 : x
  2. Step 2: Convert to fraction form
    2,232.08/3,345.38 = 998.26/x
  3. Step 3: Cross multiply
    2,232.08x = 3,345.38 × 998.26
  4. Step 4: Simplify right side
    2,232.08x = 3,339,559.04
  5. Step 5: Solve for x
    x = 3,339,559.04/2,232.08
  6. Step 6: Final answer
    x = 1,496.16

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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.