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Finding the Fourth Proportional to 1,696.89, 2,546.48 and 875.73

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Solution

The fourth proportional to 1,696.89, 2,546.48 and 875.73 is: 1,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.89 : 2,546.48 = 875.73 : x
  2. Step 2: Convert to fraction form
    1,696.89/2,546.48 = 875.73/x
  3. Step 3: Cross multiply
    1,696.89x = 2,546.48 × 875.73
  4. Step 4: Simplify right side
    1,696.89x = 2,230,028.93
  5. Step 5: Solve for x
    x = 2,230,028.93/1,696.89
  6. Step 6: Final answer
    x = 1,314.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.