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Finding the Fourth Proportional to 2,174.55, 3,262.33 and 713.61

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Solution

The fourth proportional to 2,174.55, 3,262.33 and 713.61 is: 1,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.55 : 3,262.33 = 713.61 : x
  2. Step 2: Convert to fraction form
    2,174.55/3,262.33 = 713.61/x
  3. Step 3: Cross multiply
    2,174.55x = 3,262.33 × 713.61
  4. Step 4: Simplify right side
    2,174.55x = 2,328,033.61
  5. Step 5: Solve for x
    x = 2,328,033.61/2,174.55
  6. Step 6: Final answer
    x = 1,070.58

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