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Finding the Fourth Proportional to 3,102.27, 4,653.08 and 911.01

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Solution

The fourth proportional to 3,102.27, 4,653.08 and 911.01 is: 1,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.27 : 4,653.08 = 911.01 : x
  2. Step 2: Convert to fraction form
    3,102.27/4,653.08 = 911.01/x
  3. Step 3: Cross multiply
    3,102.27x = 4,653.08 × 911.01
  4. Step 4: Simplify right side
    3,102.27x = 4,239,018.72
  5. Step 5: Solve for x
    x = 4,239,018.72/3,102.27
  6. Step 6: Final answer
    x = 1,366.43

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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.