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Finding the Fourth Proportional to 1,954, 2,696.52 and 1,069.75

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Solution

The fourth proportional to 1,954, 2,696.52 and 1,069.75 is: 1,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954 : 2,696.52 = 1,069.75 : x
  2. Step 2: Convert to fraction form
    1,954/2,696.52 = 1,069.75/x
  3. Step 3: Cross multiply
    1,954x = 2,696.52 × 1,069.75
  4. Step 4: Simplify right side
    1,954x = 2,884,602.27
  5. Step 5: Solve for x
    x = 2,884,602.27/1,954
  6. Step 6: Final answer
    x = 1,476.26

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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.