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Finding the Fourth Proportional to 2,174.55, 3,262.08 and 693.25

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Solution

The fourth proportional to 2,174.55, 3,262.08 and 693.25 is: 1,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.55 : 3,262.08 = 693.25 : x
  2. Step 2: Convert to fraction form
    2,174.55/3,262.08 = 693.25/x
  3. Step 3: Cross multiply
    2,174.55x = 3,262.08 × 693.25
  4. Step 4: Simplify right side
    2,174.55x = 2,261,449.75
  5. Step 5: Solve for x
    x = 2,261,449.75/2,174.55
  6. Step 6: Final answer
    x = 1,039.96

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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.