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Finding the Fourth Proportional to 1,696.26, 2,340.72 and 1,033.05

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Solution

The fourth proportional to 1,696.26, 2,340.72 and 1,033.05 is: 1,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.26 : 2,340.72 = 1,033.05 : x
  2. Step 2: Convert to fraction form
    1,696.26/2,340.72 = 1,033.05/x
  3. Step 3: Cross multiply
    1,696.26x = 2,340.72 × 1,033.05
  4. Step 4: Simplify right side
    1,696.26x = 2,418,080.80
  5. Step 5: Solve for x
    x = 2,418,080.80/1,696.26
  6. Step 6: Final answer
    x = 1,425.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.