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Finding the Fourth Proportional to 3,076.67, 4,615.80 and 1,102.22

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Solution

The fourth proportional to 3,076.67, 4,615.80 and 1,102.22 is: 1,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.67 : 4,615.80 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    3,076.67/4,615.80 = 1,102.22/x
  3. Step 3: Cross multiply
    3,076.67x = 4,615.80 × 1,102.22
  4. Step 4: Simplify right side
    3,076.67x = 5,087,604.00
  5. Step 5: Solve for x
    x = 5,087,604.00/3,076.67
  6. Step 6: Final answer
    x = 1,653.61

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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.