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Finding the Fourth Proportional to 1,872.54, 2,578.38 and 1,696.74

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Solution

The fourth proportional to 1,872.54, 2,578.38 and 1,696.74 is: 2,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.54 : 2,578.38 = 1,696.74 : x
  2. Step 2: Convert to fraction form
    1,872.54/2,578.38 = 1,696.74/x
  3. Step 3: Cross multiply
    1,872.54x = 2,578.38 × 1,696.74
  4. Step 4: Simplify right side
    1,872.54x = 4,374,840.48
  5. Step 5: Solve for x
    x = 4,374,840.48/1,872.54
  6. Step 6: Final answer
    x = 2,336.31

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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.