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Finding the Fourth Proportional to 2,549, 3,823.14 and 1,162.28

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Solution

The fourth proportional to 2,549, 3,823.14 and 1,162.28 is: 1,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549 : 3,823.14 = 1,162.28 : x
  2. Step 2: Convert to fraction form
    2,549/3,823.14 = 1,162.28/x
  3. Step 3: Cross multiply
    2,549x = 3,823.14 × 1,162.28
  4. Step 4: Simplify right side
    2,549x = 4,443,559.16
  5. Step 5: Solve for x
    x = 4,443,559.16/2,549
  6. Step 6: Final answer
    x = 1,743.26

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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.