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Finding the Fourth Proportional to 3,102.93, 4,654.44 and 911.70

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Solution

The fourth proportional to 3,102.93, 4,654.44 and 911.70 is: 1,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.93 : 4,654.44 = 911.70 : x
  2. Step 2: Convert to fraction form
    3,102.93/4,654.44 = 911.70/x
  3. Step 3: Cross multiply
    3,102.93x = 4,654.44 × 911.70
  4. Step 4: Simplify right side
    3,102.93x = 4,243,452.95
  5. Step 5: Solve for x
    x = 4,243,452.95/3,102.93
  6. Step 6: Final answer
    x = 1,367.56

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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.