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Finding the Fourth Proportional to 2,549.69, 3,822.08 and 1,394.63

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Solution

The fourth proportional to 2,549.69, 3,822.08 and 1,394.63 is: 2,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.69 : 3,822.08 = 1,394.63 : x
  2. Step 2: Convert to fraction form
    2,549.69/3,822.08 = 1,394.63/x
  3. Step 3: Cross multiply
    2,549.69x = 3,822.08 × 1,394.63
  4. Step 4: Simplify right side
    2,549.69x = 5,330,361.35
  5. Step 5: Solve for x
    x = 5,330,361.35/2,549.69
  6. Step 6: Final answer
    x = 2,090.60

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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.