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Finding the Fourth Proportional to 3,102.62, 4,654.58 and 911.16

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Solution

The fourth proportional to 3,102.62, 4,654.58 and 911.16 is: 1,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.62 : 4,654.58 = 911.16 : x
  2. Step 2: Convert to fraction form
    3,102.62/4,654.58 = 911.16/x
  3. Step 3: Cross multiply
    3,102.62x = 4,654.58 × 911.16
  4. Step 4: Simplify right side
    3,102.62x = 4,241,062.56
  5. Step 5: Solve for x
    x = 4,241,062.56/3,102.62
  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.