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Finding the Fourth Proportional to 2,331.77, 3,496.57 and 943.94

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Solution

The fourth proportional to 2,331.77, 3,496.57 and 943.94 is: 1,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.77 : 3,496.57 = 943.94 : x
  2. Step 2: Convert to fraction form
    2,331.77/3,496.57 = 943.94/x
  3. Step 3: Cross multiply
    2,331.77x = 3,496.57 × 943.94
  4. Step 4: Simplify right side
    2,331.77x = 3,300,552.29
  5. Step 5: Solve for x
    x = 3,300,552.29/2,331.77
  6. Step 6: Final answer
    x = 1,415.47

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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.