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Finding the Fourth Proportional to 3,419.30, 5,129.11 and 1,774.80

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Solution

The fourth proportional to 3,419.30, 5,129.11 and 1,774.80 is: 2,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.30 : 5,129.11 = 1,774.80 : x
  2. Step 2: Convert to fraction form
    3,419.30/5,129.11 = 1,774.80/x
  3. Step 3: Cross multiply
    3,419.30x = 5,129.11 × 1,774.80
  4. Step 4: Simplify right side
    3,419.30x = 9,103,144.43
  5. Step 5: Solve for x
    x = 9,103,144.43/3,419.30
  6. Step 6: Final answer
    x = 2,662.28

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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.