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Finding the Fourth Proportional to 2,174.36, 3,261.66 and 713.72

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Solution

The fourth proportional to 2,174.36, 3,261.66 and 713.72 is: 1,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.36 : 3,261.66 = 713.72 : x
  2. Step 2: Convert to fraction form
    2,174.36/3,261.66 = 713.72/x
  3. Step 3: Cross multiply
    2,174.36x = 3,261.66 × 713.72
  4. Step 4: Simplify right side
    2,174.36x = 2,327,911.98
  5. Step 5: Solve for x
    x = 2,327,911.98/2,174.36
  6. Step 6: Final answer
    x = 1,070.62

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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.