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Finding the Fourth Proportional to 1,696.68, 2,542.62 and 721.80

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Solution

The fourth proportional to 1,696.68, 2,542.62 and 721.80 is: 1,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.68 : 2,542.62 = 721.80 : x
  2. Step 2: Convert to fraction form
    1,696.68/2,542.62 = 721.80/x
  3. Step 3: Cross multiply
    1,696.68x = 2,542.62 × 721.80
  4. Step 4: Simplify right side
    1,696.68x = 1,835,263.12
  5. Step 5: Solve for x
    x = 1,835,263.12/1,696.68
  6. Step 6: Final answer
    x = 1,081.68

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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.