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Finding the Fourth Proportional to 2,335.82, 3,223.42 and 1,287.88

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Solution

The fourth proportional to 2,335.82, 3,223.42 and 1,287.88 is: 1,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.82 : 3,223.42 = 1,287.88 : x
  2. Step 2: Convert to fraction form
    2,335.82/3,223.42 = 1,287.88/x
  3. Step 3: Cross multiply
    2,335.82x = 3,223.42 × 1,287.88
  4. Step 4: Simplify right side
    2,335.82x = 4,151,378.15
  5. Step 5: Solve for x
    x = 4,151,378.15/2,335.82
  6. Step 6: Final answer
    x = 1,777.27

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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.