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Finding the Fourth Proportional to 2,893.49, 4,342.13 and 1,162.25

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Solution

The fourth proportional to 2,893.49, 4,342.13 and 1,162.25 is: 1,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.49 : 4,342.13 = 1,162.25 : x
  2. Step 2: Convert to fraction form
    2,893.49/4,342.13 = 1,162.25/x
  3. Step 3: Cross multiply
    2,893.49x = 4,342.13 × 1,162.25
  4. Step 4: Simplify right side
    2,893.49x = 5,046,640.59
  5. Step 5: Solve for x
    x = 5,046,640.59/2,893.49
  6. Step 6: Final answer
    x = 1,744.14

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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.