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Finding the Fourth Proportional to 2,608.27, 3,913.28 and 853.36

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Solution

The fourth proportional to 2,608.27, 3,913.28 and 853.36 is: 1,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.27 : 3,913.28 = 853.36 : x
  2. Step 2: Convert to fraction form
    2,608.27/3,913.28 = 853.36/x
  3. Step 3: Cross multiply
    2,608.27x = 3,913.28 × 853.36
  4. Step 4: Simplify right side
    2,608.27x = 3,339,417.05
  5. Step 5: Solve for x
    x = 3,339,417.05/2,608.27
  6. Step 6: Final answer
    x = 1,280.32

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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.