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Finding the Fourth Proportional to 3,102.14, 4,653.54 and 911.22

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Solution

The fourth proportional to 3,102.14, 4,653.54 and 911.22 is: 1,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.14 : 4,653.54 = 911.22 : x
  2. Step 2: Convert to fraction form
    3,102.14/4,653.54 = 911.22/x
  3. Step 3: Cross multiply
    3,102.14x = 4,653.54 × 911.22
  4. Step 4: Simplify right side
    3,102.14x = 4,240,398.72
  5. Step 5: Solve for x
    x = 4,240,398.72/3,102.14
  6. Step 6: Final answer
    x = 1,366.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.