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Finding the Fourth Proportional to 2,333.90, 3,220.74 and 1,285.97

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Solution

The fourth proportional to 2,333.90, 3,220.74 and 1,285.97 is: 1,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.90 : 3,220.74 = 1,285.97 : x
  2. Step 2: Convert to fraction form
    2,333.90/3,220.74 = 1,285.97/x
  3. Step 3: Cross multiply
    2,333.90x = 3,220.74 × 1,285.97
  4. Step 4: Simplify right side
    2,333.90x = 4,141,758.91
  5. Step 5: Solve for x
    x = 4,141,758.91/2,333.90
  6. Step 6: Final answer
    x = 1,774.61

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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.