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Finding the Fourth Proportional to 3,103.38, 4,654.14 and 911.52

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Solution

The fourth proportional to 3,103.38, 4,654.14 and 911.52 is: 1,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.38 : 4,654.14 = 911.52 : x
  2. Step 2: Convert to fraction form
    3,103.38/4,654.14 = 911.52/x
  3. Step 3: Cross multiply
    3,103.38x = 4,654.14 × 911.52
  4. Step 4: Simplify right side
    3,103.38x = 4,242,341.69
  5. Step 5: Solve for x
    x = 4,242,341.69/3,103.38
  6. Step 6: Final answer
    x = 1,367.01

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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.