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Finding the Fourth Proportional to 1,555.96, 2,147.22 and 857.33

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Solution

The fourth proportional to 1,555.96, 2,147.22 and 857.33 is: 1,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.96 : 2,147.22 = 857.33 : x
  2. Step 2: Convert to fraction form
    1,555.96/2,147.22 = 857.33/x
  3. Step 3: Cross multiply
    1,555.96x = 2,147.22 × 857.33
  4. Step 4: Simplify right side
    1,555.96x = 1,840,871.84
  5. Step 5: Solve for x
    x = 1,840,871.84/1,555.96
  6. Step 6: Final answer
    x = 1,183.11

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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.