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Finding the Fourth Proportional to 1,401.16, 2,099.16 and 1,181.86

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Solution

The fourth proportional to 1,401.16, 2,099.16 and 1,181.86 is: 1,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.16 : 2,099.16 = 1,181.86 : x
  2. Step 2: Convert to fraction form
    1,401.16/2,099.16 = 1,181.86/x
  3. Step 3: Cross multiply
    1,401.16x = 2,099.16 × 1,181.86
  4. Step 4: Simplify right side
    1,401.16x = 2,480,913.24
  5. Step 5: Solve for x
    x = 2,480,913.24/1,401.16
  6. Step 6: Final answer
    x = 1,770.61

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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.