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Finding the Fourth Proportional to 2,326.22, 3,488.46 and 939.11

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Solution

The fourth proportional to 2,326.22, 3,488.46 and 939.11 is: 1,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.22 : 3,488.46 = 939.11 : x
  2. Step 2: Convert to fraction form
    2,326.22/3,488.46 = 939.11/x
  3. Step 3: Cross multiply
    2,326.22x = 3,488.46 × 939.11
  4. Step 4: Simplify right side
    2,326.22x = 3,276,047.67
  5. Step 5: Solve for x
    x = 3,276,047.67/2,326.22
  6. Step 6: Final answer
    x = 1,408.31

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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.