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Finding the Fourth Proportional to 2,138.86, 3,208.53 and 889.32

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Solution

The fourth proportional to 2,138.86, 3,208.53 and 889.32 is: 1,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.86 : 3,208.53 = 889.32 : x
  2. Step 2: Convert to fraction form
    2,138.86/3,208.53 = 889.32/x
  3. Step 3: Cross multiply
    2,138.86x = 3,208.53 × 889.32
  4. Step 4: Simplify right side
    2,138.86x = 2,853,409.90
  5. Step 5: Solve for x
    x = 2,853,409.90/2,138.86
  6. Step 6: Final answer
    x = 1,334.08

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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.