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Finding the Fourth Proportional to 3,102.67, 4,654.07 and 911.40

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Solution

The fourth proportional to 3,102.67, 4,654.07 and 911.40 is: 1,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.67 : 4,654.07 = 911.40 : x
  2. Step 2: Convert to fraction form
    3,102.67/4,654.07 = 911.40/x
  3. Step 3: Cross multiply
    3,102.67x = 4,654.07 × 911.40
  4. Step 4: Simplify right side
    3,102.67x = 4,241,700.81
  5. Step 5: Solve for x
    x = 4,241,700.81/3,102.67
  6. Step 6: Final answer
    x = 1,367.11

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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.