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Finding the Fourth Proportional to 2,805.07, 4,206.84 and 1,161.22

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Solution

The fourth proportional to 2,805.07, 4,206.84 and 1,161.22 is: 1,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.07 : 4,206.84 = 1,161.22 : x
  2. Step 2: Convert to fraction form
    2,805.07/4,206.84 = 1,161.22/x
  3. Step 3: Cross multiply
    2,805.07x = 4,206.84 × 1,161.22
  4. Step 4: Simplify right side
    2,805.07x = 4,885,063.84
  5. Step 5: Solve for x
    x = 4,885,063.84/2,805.07
  6. Step 6: Final answer
    x = 1,741.51

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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.