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Finding the Fourth Proportional to 2,795.14, 3,856.98 and 1,616.62

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Solution

The fourth proportional to 2,795.14, 3,856.98 and 1,616.62 is: 2,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.14 : 3,856.98 = 1,616.62 : x
  2. Step 2: Convert to fraction form
    2,795.14/3,856.98 = 1,616.62/x
  3. Step 3: Cross multiply
    2,795.14x = 3,856.98 × 1,616.62
  4. Step 4: Simplify right side
    2,795.14x = 6,235,271.01
  5. Step 5: Solve for x
    x = 6,235,271.01/2,795.14
  6. Step 6: Final answer
    x = 2,230.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.