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Finding the Fourth Proportional to 2,054.18, 3,080.05 and 822.17

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Solution

The fourth proportional to 2,054.18, 3,080.05 and 822.17 is: 1,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.18 : 3,080.05 = 822.17 : x
  2. Step 2: Convert to fraction form
    2,054.18/3,080.05 = 822.17/x
  3. Step 3: Cross multiply
    2,054.18x = 3,080.05 × 822.17
  4. Step 4: Simplify right side
    2,054.18x = 2,532,330.35
  5. Step 5: Solve for x
    x = 2,532,330.35/2,054.18
  6. Step 6: Final answer
    x = 1,232.77

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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.