Home / 1,696.83-2,342.33-1,166.47

Finding the Fourth Proportional to 1,696.83, 2,342.33 and 1,166.47

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Solution

The fourth proportional to 1,696.83, 2,342.33 and 1,166.47 is: 1,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.83 : 2,342.33 = 1,166.47 : x
  2. Step 2: Convert to fraction form
    1,696.83/2,342.33 = 1,166.47/x
  3. Step 3: Cross multiply
    1,696.83x = 2,342.33 × 1,166.47
  4. Step 4: Simplify right side
    1,696.83x = 2,732,257.68
  5. Step 5: Solve for x
    x = 2,732,257.68/1,696.83
  6. Step 6: Final answer
    x = 1,610.21

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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.