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Finding the Fourth Proportional to 2,578.49, 3,549.28 and 2,246.34

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Solution

The fourth proportional to 2,578.49, 3,549.28 and 2,246.34 is: 3,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.49 : 3,549.28 = 2,246.34 : x
  2. Step 2: Convert to fraction form
    2,578.49/3,549.28 = 2,246.34/x
  3. Step 3: Cross multiply
    2,578.49x = 3,549.28 × 2,246.34
  4. Step 4: Simplify right side
    2,578.49x = 7,972,889.64
  5. Step 5: Solve for x
    x = 7,972,889.64/2,578.49
  6. Step 6: Final answer
    x = 3,092.08

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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.