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Finding the Fourth Proportional to 2,069.12, 2,855.16 and 1,137.44

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Solution

The fourth proportional to 2,069.12, 2,855.16 and 1,137.44 is: 1,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.12 : 2,855.16 = 1,137.44 : x
  2. Step 2: Convert to fraction form
    2,069.12/2,855.16 = 1,137.44/x
  3. Step 3: Cross multiply
    2,069.12x = 2,855.16 × 1,137.44
  4. Step 4: Simplify right side
    2,069.12x = 3,247,573.19
  5. Step 5: Solve for x
    x = 3,247,573.19/2,069.12
  6. Step 6: Final answer
    x = 1,569.54

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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.