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Finding the Fourth Proportional to 2,053.85, 3,078.71 and 884.34

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Solution

The fourth proportional to 2,053.85, 3,078.71 and 884.34 is: 1,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.85 : 3,078.71 = 884.34 : x
  2. Step 2: Convert to fraction form
    2,053.85/3,078.71 = 884.34/x
  3. Step 3: Cross multiply
    2,053.85x = 3,078.71 × 884.34
  4. Step 4: Simplify right side
    2,053.85x = 2,722,625.30
  5. Step 5: Solve for x
    x = 2,722,625.30/2,053.85
  6. Step 6: Final answer
    x = 1,325.62

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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.