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Finding the Fourth Proportional to 2,562.63, 3,842.19 and 1,263.12

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Solution

The fourth proportional to 2,562.63, 3,842.19 and 1,263.12 is: 1,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.63 : 3,842.19 = 1,263.12 : x
  2. Step 2: Convert to fraction form
    2,562.63/3,842.19 = 1,263.12/x
  3. Step 3: Cross multiply
    2,562.63x = 3,842.19 × 1,263.12
  4. Step 4: Simplify right side
    2,562.63x = 4,853,147.03
  5. Step 5: Solve for x
    x = 4,853,147.03/2,562.63
  6. Step 6: Final answer
    x = 1,893.81

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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.