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Finding the Fourth Proportional to 1,771.86, 2,446.08 and 1,185.48

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Solution

The fourth proportional to 1,771.86, 2,446.08 and 1,185.48 is: 1,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.86 : 2,446.08 = 1,185.48 : x
  2. Step 2: Convert to fraction form
    1,771.86/2,446.08 = 1,185.48/x
  3. Step 3: Cross multiply
    1,771.86x = 2,446.08 × 1,185.48
  4. Step 4: Simplify right side
    1,771.86x = 2,899,778.92
  5. Step 5: Solve for x
    x = 2,899,778.92/1,771.86
  6. Step 6: Final answer
    x = 1,636.57

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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.