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Finding the Fourth Proportional to 1,696.43, 2,556.23 and 1,395.04

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Solution

The fourth proportional to 1,696.43, 2,556.23 and 1,395.04 is: 2,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.43 : 2,556.23 = 1,395.04 : x
  2. Step 2: Convert to fraction form
    1,696.43/2,556.23 = 1,395.04/x
  3. Step 3: Cross multiply
    1,696.43x = 2,556.23 × 1,395.04
  4. Step 4: Simplify right side
    1,696.43x = 3,566,034.53
  5. Step 5: Solve for x
    x = 3,566,034.53/1,696.43
  6. Step 6: Final answer
    x = 2,102.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.