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Finding the Fourth Proportional to 3,257.76, 4,496.10 and 1,841.49

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Solution

The fourth proportional to 3,257.76, 4,496.10 and 1,841.49 is: 2,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.76 : 4,496.10 = 1,841.49 : x
  2. Step 2: Convert to fraction form
    3,257.76/4,496.10 = 1,841.49/x
  3. Step 3: Cross multiply
    3,257.76x = 4,496.10 × 1,841.49
  4. Step 4: Simplify right side
    3,257.76x = 8,279,523.19
  5. Step 5: Solve for x
    x = 8,279,523.19/3,257.76
  6. Step 6: Final answer
    x = 2,541.48

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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.