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Finding the Fourth Proportional to 1,881.72, 2,814.36 and 1,099.86

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Solution

The fourth proportional to 1,881.72, 2,814.36 and 1,099.86 is: 1,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.72 : 2,814.36 = 1,099.86 : x
  2. Step 2: Convert to fraction form
    1,881.72/2,814.36 = 1,099.86/x
  3. Step 3: Cross multiply
    1,881.72x = 2,814.36 × 1,099.86
  4. Step 4: Simplify right side
    1,881.72x = 3,095,401.99
  5. Step 5: Solve for x
    x = 3,095,401.99/1,881.72
  6. Step 6: Final answer
    x = 1,644.99

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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.