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Finding the Fourth Proportional to 2,285.80, 3,430.52 and 825.97

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Solution

The fourth proportional to 2,285.80, 3,430.52 and 825.97 is: 1,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.80 : 3,430.52 = 825.97 : x
  2. Step 2: Convert to fraction form
    2,285.80/3,430.52 = 825.97/x
  3. Step 3: Cross multiply
    2,285.80x = 3,430.52 × 825.97
  4. Step 4: Simplify right side
    2,285.80x = 2,833,506.60
  5. Step 5: Solve for x
    x = 2,833,506.60/2,285.80
  6. Step 6: Final answer
    x = 1,239.61

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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.