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Finding the Fourth Proportional to 3,306.21, 4,959.33 and 840.96

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Solution

The fourth proportional to 3,306.21, 4,959.33 and 840.96 is: 1,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.21 : 4,959.33 = 840.96 : x
  2. Step 2: Convert to fraction form
    3,306.21/4,959.33 = 840.96/x
  3. Step 3: Cross multiply
    3,306.21x = 4,959.33 × 840.96
  4. Step 4: Simplify right side
    3,306.21x = 4,170,598.16
  5. Step 5: Solve for x
    x = 4,170,598.16/3,306.21
  6. Step 6: Final answer
    x = 1,261.44

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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.