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Finding the Fourth Proportional to 2,055.18, 3,081.55 and 823.17

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Solution

The fourth proportional to 2,055.18, 3,081.55 and 823.17 is: 1,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.18 : 3,081.55 = 823.17 : x
  2. Step 2: Convert to fraction form
    2,055.18/3,081.55 = 823.17/x
  3. Step 3: Cross multiply
    2,055.18x = 3,081.55 × 823.17
  4. Step 4: Simplify right side
    2,055.18x = 2,536,639.51
  5. Step 5: Solve for x
    x = 2,536,639.51/2,055.18
  6. Step 6: Final answer
    x = 1,234.27

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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.