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Finding the Fourth Proportional to 2,323.37, 3,484.45 and 861.73

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Solution

The fourth proportional to 2,323.37, 3,484.45 and 861.73 is: 1,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.37 : 3,484.45 = 861.73 : x
  2. Step 2: Convert to fraction form
    2,323.37/3,484.45 = 861.73/x
  3. Step 3: Cross multiply
    2,323.37x = 3,484.45 × 861.73
  4. Step 4: Simplify right side
    2,323.37x = 3,002,655.10
  5. Step 5: Solve for x
    x = 3,002,655.10/2,323.37
  6. Step 6: Final answer
    x = 1,292.37

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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.