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Finding the Fourth Proportional to 2,833.06, 4,230.50 and 2,314.09

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Solution

The fourth proportional to 2,833.06, 4,230.50 and 2,314.09 is: 3,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.06 : 4,230.50 = 2,314.09 : x
  2. Step 2: Convert to fraction form
    2,833.06/4,230.50 = 2,314.09/x
  3. Step 3: Cross multiply
    2,833.06x = 4,230.50 × 2,314.09
  4. Step 4: Simplify right side
    2,833.06x = 9,789,747.17
  5. Step 5: Solve for x
    x = 9,789,747.17/2,833.06
  6. Step 6: Final answer
    x = 3,455.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.