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Finding the Fourth Proportional to 3,094.19, 4,640.37 and 902.40

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Solution

The fourth proportional to 3,094.19, 4,640.37 and 902.40 is: 1,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.19 : 4,640.37 = 902.40 : x
  2. Step 2: Convert to fraction form
    3,094.19/4,640.37 = 902.40/x
  3. Step 3: Cross multiply
    3,094.19x = 4,640.37 × 902.40
  4. Step 4: Simplify right side
    3,094.19x = 4,187,469.89
  5. Step 5: Solve for x
    x = 4,187,469.89/3,094.19
  6. Step 6: Final answer
    x = 1,353.33

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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.