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Finding the Fourth Proportional to 4,081.76, 6,122.72 and 1,616

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Solution

The fourth proportional to 4,081.76, 6,122.72 and 1,616 is: 2,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.76 : 6,122.72 = 1,616 : x
  2. Step 2: Convert to fraction form
    4,081.76/6,122.72 = 1,616/x
  3. Step 3: Cross multiply
    4,081.76x = 6,122.72 × 1,616
  4. Step 4: Simplify right side
    4,081.76x = 9,894,315.52
  5. Step 5: Solve for x
    x = 9,894,315.52/4,081.76
  6. Step 6: Final answer
    x = 2,424.03

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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.