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Finding the Fourth Proportional to 1,556.58, 2,147.96 and 857.96

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Solution

The fourth proportional to 1,556.58, 2,147.96 and 857.96 is: 1,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.58 : 2,147.96 = 857.96 : x
  2. Step 2: Convert to fraction form
    1,556.58/2,147.96 = 857.96/x
  3. Step 3: Cross multiply
    1,556.58x = 2,147.96 × 857.96
  4. Step 4: Simplify right side
    1,556.58x = 1,842,863.76
  5. Step 5: Solve for x
    x = 1,842,863.76/1,556.58
  6. Step 6: Final answer
    x = 1,183.92

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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.