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Finding the Fourth Proportional to 6,261.80, 9,392.22 and 1,644.68

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Solution

The fourth proportional to 6,261.80, 9,392.22 and 1,644.68 is: 2,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.80 : 9,392.22 = 1,644.68 : x
  2. Step 2: Convert to fraction form
    6,261.80/9,392.22 = 1,644.68/x
  3. Step 3: Cross multiply
    6,261.80x = 9,392.22 × 1,644.68
  4. Step 4: Simplify right side
    6,261.80x = 15,447,196.39
  5. Step 5: Solve for x
    x = 15,447,196.39/6,261.80
  6. Step 6: Final answer
    x = 2,466.89

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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.