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Finding the Fourth Proportional to 2,111.77, 3,168.21 and 795.54

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Solution

The fourth proportional to 2,111.77, 3,168.21 and 795.54 is: 1,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.77 : 3,168.21 = 795.54 : x
  2. Step 2: Convert to fraction form
    2,111.77/3,168.21 = 795.54/x
  3. Step 3: Cross multiply
    2,111.77x = 3,168.21 × 795.54
  4. Step 4: Simplify right side
    2,111.77x = 2,520,430.35
  5. Step 5: Solve for x
    x = 2,520,430.35/2,111.77
  6. Step 6: Final answer
    x = 1,193.51

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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.