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Finding the Fourth Proportional to 2,855.14, 4,279.74 and 1,099.66

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Solution

The fourth proportional to 2,855.14, 4,279.74 and 1,099.66 is: 1,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.14 : 4,279.74 = 1,099.66 : x
  2. Step 2: Convert to fraction form
    2,855.14/4,279.74 = 1,099.66/x
  3. Step 3: Cross multiply
    2,855.14x = 4,279.74 × 1,099.66
  4. Step 4: Simplify right side
    2,855.14x = 4,706,258.89
  5. Step 5: Solve for x
    x = 4,706,258.89/2,855.14
  6. Step 6: Final answer
    x = 1,648.35

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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.