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Finding the Fourth Proportional to 1,556.72, 2,147.79 and 967.46

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Solution

The fourth proportional to 1,556.72, 2,147.79 and 967.46 is: 1,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.72 : 2,147.79 = 967.46 : x
  2. Step 2: Convert to fraction form
    1,556.72/2,147.79 = 967.46/x
  3. Step 3: Cross multiply
    1,556.72x = 2,147.79 × 967.46
  4. Step 4: Simplify right side
    1,556.72x = 2,077,900.91
  5. Step 5: Solve for x
    x = 2,077,900.91/1,556.72
  6. Step 6: Final answer
    x = 1,334.79

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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.