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Finding the Fourth Proportional to 3,257.64, 4,495.38 and 1,841.46

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Solution

The fourth proportional to 3,257.64, 4,495.38 and 1,841.46 is: 2,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.64 : 4,495.38 = 1,841.46 : x
  2. Step 2: Convert to fraction form
    3,257.64/4,495.38 = 1,841.46/x
  3. Step 3: Cross multiply
    3,257.64x = 4,495.38 × 1,841.46
  4. Step 4: Simplify right side
    3,257.64x = 8,278,062.45
  5. Step 5: Solve for x
    x = 8,278,062.45/3,257.64
  6. Step 6: Final answer
    x = 2,541.12

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Why These Related Problems?

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