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Finding the Fourth Proportional to 1,918.26, 2,647.20 and 1,256.22

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Solution

The fourth proportional to 1,918.26, 2,647.20 and 1,256.22 is: 1,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.26 : 2,647.20 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    1,918.26/2,647.20 = 1,256.22/x
  3. Step 3: Cross multiply
    1,918.26x = 2,647.20 × 1,256.22
  4. Step 4: Simplify right side
    1,918.26x = 3,325,465.58
  5. Step 5: Solve for x
    x = 3,325,465.58/1,918.26
  6. Step 6: Final answer
    x = 1,733.58

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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.