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Finding the Fourth Proportional to 2,324.09, 3,486.11 and 937.17

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Solution

The fourth proportional to 2,324.09, 3,486.11 and 937.17 is: 1,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.09 : 3,486.11 = 937.17 : x
  2. Step 2: Convert to fraction form
    2,324.09/3,486.11 = 937.17/x
  3. Step 3: Cross multiply
    2,324.09x = 3,486.11 × 937.17
  4. Step 4: Simplify right side
    2,324.09x = 3,267,073.02
  5. Step 5: Solve for x
    x = 3,267,073.02/2,324.09
  6. Step 6: Final answer
    x = 1,405.74

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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.