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Finding the Fourth Proportional to 3,094.03, 4,641.20 and 902.92

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Solution

The fourth proportional to 3,094.03, 4,641.20 and 902.92 is: 1,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.03 : 4,641.20 = 902.92 : x
  2. Step 2: Convert to fraction form
    3,094.03/4,641.20 = 902.92/x
  3. Step 3: Cross multiply
    3,094.03x = 4,641.20 × 902.92
  4. Step 4: Simplify right side
    3,094.03x = 4,190,632.30
  5. Step 5: Solve for x
    x = 4,190,632.30/3,094.03
  6. Step 6: Final answer
    x = 1,354.43

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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.