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Finding the Fourth Proportional to 2,331.64, 3,221.94 and 1,740.88

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Solution

The fourth proportional to 2,331.64, 3,221.94 and 1,740.88 is: 2,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.64 : 3,221.94 = 1,740.88 : x
  2. Step 2: Convert to fraction form
    2,331.64/3,221.94 = 1,740.88/x
  3. Step 3: Cross multiply
    2,331.64x = 3,221.94 × 1,740.88
  4. Step 4: Simplify right side
    2,331.64x = 5,609,010.91
  5. Step 5: Solve for x
    x = 5,609,010.91/2,331.64
  6. Step 6: Final answer
    x = 2,405.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.