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Finding the Fourth Proportional to 2,467.33, 3,701.59 and 823.89

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Solution

The fourth proportional to 2,467.33, 3,701.59 and 823.89 is: 1,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.33 : 3,701.59 = 823.89 : x
  2. Step 2: Convert to fraction form
    2,467.33/3,701.59 = 823.89/x
  3. Step 3: Cross multiply
    2,467.33x = 3,701.59 × 823.89
  4. Step 4: Simplify right side
    2,467.33x = 3,049,702.99
  5. Step 5: Solve for x
    x = 3,049,702.99/2,467.33
  6. Step 6: Final answer
    x = 1,236.03

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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.