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Finding the Fourth Proportional to 2,054.94, 3,079.46 and 884.62

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Solution

The fourth proportional to 2,054.94, 3,079.46 and 884.62 is: 1,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.94 : 3,079.46 = 884.62 : x
  2. Step 2: Convert to fraction form
    2,054.94/3,079.46 = 884.62/x
  3. Step 3: Cross multiply
    2,054.94x = 3,079.46 × 884.62
  4. Step 4: Simplify right side
    2,054.94x = 2,724,151.91
  5. Step 5: Solve for x
    x = 2,724,151.91/2,054.94
  6. Step 6: Final answer
    x = 1,325.66

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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.