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Finding the Fourth Proportional to 2,054.76, 3,083.28 and 822.12

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Solution

The fourth proportional to 2,054.76, 3,083.28 and 822.12 is: 1,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.76 : 3,083.28 = 822.12 : x
  2. Step 2: Convert to fraction form
    2,054.76/3,083.28 = 822.12/x
  3. Step 3: Cross multiply
    2,054.76x = 3,083.28 × 822.12
  4. Step 4: Simplify right side
    2,054.76x = 2,534,826.15
  5. Step 5: Solve for x
    x = 2,534,826.15/2,054.76
  6. Step 6: Final answer
    x = 1,233.64

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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.