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Finding the Fourth Proportional to 2,546.02, 3,819.63 and 902.71

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Solution

The fourth proportional to 2,546.02, 3,819.63 and 902.71 is: 1,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.02 : 3,819.63 = 902.71 : x
  2. Step 2: Convert to fraction form
    2,546.02/3,819.63 = 902.71/x
  3. Step 3: Cross multiply
    2,546.02x = 3,819.63 × 902.71
  4. Step 4: Simplify right side
    2,546.02x = 3,447,999.10
  5. Step 5: Solve for x
    x = 3,447,999.10/2,546.02
  6. Step 6: Final answer
    x = 1,354.27

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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.