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Finding the Fourth Proportional to 2,331.82, 3,497.72 and 1,176.22

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Solution

The fourth proportional to 2,331.82, 3,497.72 and 1,176.22 is: 1,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.82 : 3,497.72 = 1,176.22 : x
  2. Step 2: Convert to fraction form
    2,331.82/3,497.72 = 1,176.22/x
  3. Step 3: Cross multiply
    2,331.82x = 3,497.72 × 1,176.22
  4. Step 4: Simplify right side
    2,331.82x = 4,114,088.22
  5. Step 5: Solve for x
    x = 4,114,088.22/2,331.82
  6. Step 6: Final answer
    x = 1,764.32

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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.