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Finding the Fourth Proportional to 2,261.08, 3,388.88 and 959.82

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Solution

The fourth proportional to 2,261.08, 3,388.88 and 959.82 is: 1,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.08 : 3,388.88 = 959.82 : x
  2. Step 2: Convert to fraction form
    2,261.08/3,388.88 = 959.82/x
  3. Step 3: Cross multiply
    2,261.08x = 3,388.88 × 959.82
  4. Step 4: Simplify right side
    2,261.08x = 3,252,714.80
  5. Step 5: Solve for x
    x = 3,252,714.80/2,261.08
  6. Step 6: Final answer
    x = 1,438.57

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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.