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Finding the Fourth Proportional to 2,549.77, 3,825.96 and 1,162.92

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Solution

The fourth proportional to 2,549.77, 3,825.96 and 1,162.92 is: 1,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.77 : 3,825.96 = 1,162.92 : x
  2. Step 2: Convert to fraction form
    2,549.77/3,825.96 = 1,162.92/x
  3. Step 3: Cross multiply
    2,549.77x = 3,825.96 × 1,162.92
  4. Step 4: Simplify right side
    2,549.77x = 4,449,285.40
  5. Step 5: Solve for x
    x = 4,449,285.40/2,549.77
  6. Step 6: Final answer
    x = 1,744.98

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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.