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Finding the Fourth Proportional to 2,025.81, 2,795.15 and 1,186.22

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Solution

The fourth proportional to 2,025.81, 2,795.15 and 1,186.22 is: 1,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.81 : 2,795.15 = 1,186.22 : x
  2. Step 2: Convert to fraction form
    2,025.81/2,795.15 = 1,186.22/x
  3. Step 3: Cross multiply
    2,025.81x = 2,795.15 × 1,186.22
  4. Step 4: Simplify right side
    2,025.81x = 3,315,672.79
  5. Step 5: Solve for x
    x = 3,315,672.79/2,025.81
  6. Step 6: Final answer
    x = 1,636.71

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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.