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Finding the Fourth Proportional to 2,174.64, 3,261.96 and 713.78

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Solution

The fourth proportional to 2,174.64, 3,261.96 and 713.78 is: 1,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.64 : 3,261.96 = 713.78 : x
  2. Step 2: Convert to fraction form
    2,174.64/3,261.96 = 713.78/x
  3. Step 3: Cross multiply
    2,174.64x = 3,261.96 × 713.78
  4. Step 4: Simplify right side
    2,174.64x = 2,328,321.81
  5. Step 5: Solve for x
    x = 2,328,321.81/2,174.64
  6. Step 6: Final answer
    x = 1,070.67

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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.