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Finding the Fourth Proportional to 2,492.82, 3,439.49 and 1,641.98

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Solution

The fourth proportional to 2,492.82, 3,439.49 and 1,641.98 is: 2,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.82 : 3,439.49 = 1,641.98 : x
  2. Step 2: Convert to fraction form
    2,492.82/3,439.49 = 1,641.98/x
  3. Step 3: Cross multiply
    2,492.82x = 3,439.49 × 1,641.98
  4. Step 4: Simplify right side
    2,492.82x = 5,647,574.18
  5. Step 5: Solve for x
    x = 5,647,574.18/2,492.82
  6. Step 6: Final answer
    x = 2,265.54

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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.