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Finding the Fourth Proportional to 2,537.12, 3,806.19 and 894.83

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Solution

The fourth proportional to 2,537.12, 3,806.19 and 894.83 is: 1,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.12 : 3,806.19 = 894.83 : x
  2. Step 2: Convert to fraction form
    2,537.12/3,806.19 = 894.83/x
  3. Step 3: Cross multiply
    2,537.12x = 3,806.19 × 894.83
  4. Step 4: Simplify right side
    2,537.12x = 3,405,893.00
  5. Step 5: Solve for x
    x = 3,405,893.00/2,537.12
  6. Step 6: Final answer
    x = 1,342.42

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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.