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Finding the Fourth Proportional to 3,102.86, 4,654.37 and 911.59

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Solution

The fourth proportional to 3,102.86, 4,654.37 and 911.59 is: 1,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.86 : 4,654.37 = 911.59 : x
  2. Step 2: Convert to fraction form
    3,102.86/4,654.37 = 911.59/x
  3. Step 3: Cross multiply
    3,102.86x = 4,654.37 × 911.59
  4. Step 4: Simplify right side
    3,102.86x = 4,242,860.95
  5. Step 5: Solve for x
    x = 4,242,860.95/3,102.86
  6. Step 6: Final answer
    x = 1,367.40

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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.