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Finding the Fourth Proportional to 1,256.26, 1,735.80 and 1,211.90

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Solution

The fourth proportional to 1,256.26, 1,735.80 and 1,211.90 is: 1,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.26 : 1,735.80 = 1,211.90 : x
  2. Step 2: Convert to fraction form
    1,256.26/1,735.80 = 1,211.90/x
  3. Step 3: Cross multiply
    1,256.26x = 1,735.80 × 1,211.90
  4. Step 4: Simplify right side
    1,256.26x = 2,103,616.02
  5. Step 5: Solve for x
    x = 2,103,616.02/1,256.26
  6. Step 6: Final answer
    x = 1,674.51

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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.