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Finding the Fourth Proportional to 1,696.97, 2,546.69 and 875.14

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Solution

The fourth proportional to 1,696.97, 2,546.69 and 875.14 is: 1,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.97 : 2,546.69 = 875.14 : x
  2. Step 2: Convert to fraction form
    1,696.97/2,546.69 = 875.14/x
  3. Step 3: Cross multiply
    1,696.97x = 2,546.69 × 875.14
  4. Step 4: Simplify right side
    1,696.97x = 2,228,699.54
  5. Step 5: Solve for x
    x = 2,228,699.54/1,696.97
  6. Step 6: Final answer
    x = 1,313.34

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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.