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Finding the Fourth Proportional to 2,331.09, 3,497.40 and 943.67

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Solution

The fourth proportional to 2,331.09, 3,497.40 and 943.67 is: 1,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.09 : 3,497.40 = 943.67 : x
  2. Step 2: Convert to fraction form
    2,331.09/3,497.40 = 943.67/x
  3. Step 3: Cross multiply
    2,331.09x = 3,497.40 × 943.67
  4. Step 4: Simplify right side
    2,331.09x = 3,300,373.97
  5. Step 5: Solve for x
    x = 3,300,373.97/2,331.09
  6. Step 6: Final answer
    x = 1,415.81

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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.