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Finding the Fourth Proportional to 2,549.82, 3,519.42 and 1,555.68

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Solution

The fourth proportional to 2,549.82, 3,519.42 and 1,555.68 is: 2,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.82 : 3,519.42 = 1,555.68 : x
  2. Step 2: Convert to fraction form
    2,549.82/3,519.42 = 1,555.68/x
  3. Step 3: Cross multiply
    2,549.82x = 3,519.42 × 1,555.68
  4. Step 4: Simplify right side
    2,549.82x = 5,475,091.31
  5. Step 5: Solve for x
    x = 5,475,091.31/2,549.82
  6. Step 6: Final answer
    x = 2,147.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.