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Finding the Fourth Proportional to 3,110.23, 4,665.36 and 889.05

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Solution

The fourth proportional to 3,110.23, 4,665.36 and 889.05 is: 1,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.23 : 4,665.36 = 889.05 : x
  2. Step 2: Convert to fraction form
    3,110.23/4,665.36 = 889.05/x
  3. Step 3: Cross multiply
    3,110.23x = 4,665.36 × 889.05
  4. Step 4: Simplify right side
    3,110.23x = 4,147,733.86
  5. Step 5: Solve for x
    x = 4,147,733.86/3,110.23
  6. Step 6: Final answer
    x = 1,333.58

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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.