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Finding the Fourth Proportional to 2,069.54, 2,856 and 1,185.42

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Solution

The fourth proportional to 2,069.54, 2,856 and 1,185.42 is: 1,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.54 : 2,856 = 1,185.42 : x
  2. Step 2: Convert to fraction form
    2,069.54/2,856 = 1,185.42/x
  3. Step 3: Cross multiply
    2,069.54x = 2,856 × 1,185.42
  4. Step 4: Simplify right side
    2,069.54x = 3,385,559.52
  5. Step 5: Solve for x
    x = 3,385,559.52/2,069.54
  6. Step 6: Final answer
    x = 1,635.90

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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.