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Finding the Fourth Proportional to 1,885.86, 2,601.66 and 1,099.44

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Solution

The fourth proportional to 1,885.86, 2,601.66 and 1,099.44 is: 1,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.86 : 2,601.66 = 1,099.44 : x
  2. Step 2: Convert to fraction form
    1,885.86/2,601.66 = 1,099.44/x
  3. Step 3: Cross multiply
    1,885.86x = 2,601.66 × 1,099.44
  4. Step 4: Simplify right side
    1,885.86x = 2,860,369.07
  5. Step 5: Solve for x
    x = 2,860,369.07/1,885.86
  6. Step 6: Final answer
    x = 1,516.75

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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.