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Finding the Fourth Proportional to 2,235.23, 3,354.74 and 919.69

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Solution

The fourth proportional to 2,235.23, 3,354.74 and 919.69 is: 1,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.23 : 3,354.74 = 919.69 : x
  2. Step 2: Convert to fraction form
    2,235.23/3,354.74 = 919.69/x
  3. Step 3: Cross multiply
    2,235.23x = 3,354.74 × 919.69
  4. Step 4: Simplify right side
    2,235.23x = 3,085,311.29
  5. Step 5: Solve for x
    x = 3,085,311.29/2,235.23
  6. Step 6: Final answer
    x = 1,380.31

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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.