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Finding the Fourth Proportional to 2,174.41, 3,261.60 and 713.23

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Solution

The fourth proportional to 2,174.41, 3,261.60 and 713.23 is: 1,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.41 : 3,261.60 = 713.23 : x
  2. Step 2: Convert to fraction form
    2,174.41/3,261.60 = 713.23/x
  3. Step 3: Cross multiply
    2,174.41x = 3,261.60 × 713.23
  4. Step 4: Simplify right side
    2,174.41x = 2,326,270.97
  5. Step 5: Solve for x
    x = 2,326,270.97/2,174.41
  6. Step 6: Final answer
    x = 1,069.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.