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Finding the Fourth Proportional to 3,409.90, 4,704.78 and 2,150.85

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Solution

The fourth proportional to 3,409.90, 4,704.78 and 2,150.85 is: 2,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.90 : 4,704.78 = 2,150.85 : x
  2. Step 2: Convert to fraction form
    3,409.90/4,704.78 = 2,150.85/x
  3. Step 3: Cross multiply
    3,409.90x = 4,704.78 × 2,150.85
  4. Step 4: Simplify right side
    3,409.90x = 10,119,301.77
  5. Step 5: Solve for x
    x = 10,119,301.77/3,409.90
  6. Step 6: Final answer
    x = 2,967.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.