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Finding the Fourth Proportional to 1,274.04, 1,743.05 and 1,268.58

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Solution

The fourth proportional to 1,274.04, 1,743.05 and 1,268.58 is: 1,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.04 : 1,743.05 = 1,268.58 : x
  2. Step 2: Convert to fraction form
    1,274.04/1,743.05 = 1,268.58/x
  3. Step 3: Cross multiply
    1,274.04x = 1,743.05 × 1,268.58
  4. Step 4: Simplify right side
    1,274.04x = 2,211,192.03
  5. Step 5: Solve for x
    x = 2,211,192.03/1,274.04
  6. Step 6: Final answer
    x = 1,735.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.