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Finding the Fourth Proportional to 1,556.29, 2,147.69 and 857.67

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Solution

The fourth proportional to 1,556.29, 2,147.69 and 857.67 is: 1,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.29 : 2,147.69 = 857.67 : x
  2. Step 2: Convert to fraction form
    1,556.29/2,147.69 = 857.67/x
  3. Step 3: Cross multiply
    1,556.29x = 2,147.69 × 857.67
  4. Step 4: Simplify right side
    1,556.29x = 1,841,999.62
  5. Step 5: Solve for x
    x = 1,841,999.62/1,556.29
  6. Step 6: Final answer
    x = 1,183.58

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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.