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Finding the Fourth Proportional to 1,555.75, 2,146.94 and 857.26

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Solution

The fourth proportional to 1,555.75, 2,146.94 and 857.26 is: 1,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.75 : 2,146.94 = 857.26 : x
  2. Step 2: Convert to fraction form
    1,555.75/2,146.94 = 857.26/x
  3. Step 3: Cross multiply
    1,555.75x = 2,146.94 × 857.26
  4. Step 4: Simplify right side
    1,555.75x = 1,840,481.50
  5. Step 5: Solve for x
    x = 1,840,481.50/1,555.75
  6. Step 6: Final answer
    x = 1,183.02

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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.