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Finding the Fourth Proportional to 2,849.66, 4,271.25 and 1,205.18

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Solution

The fourth proportional to 2,849.66, 4,271.25 and 1,205.18 is: 1,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.66 : 4,271.25 = 1,205.18 : x
  2. Step 2: Convert to fraction form
    2,849.66/4,271.25 = 1,205.18/x
  3. Step 3: Cross multiply
    2,849.66x = 4,271.25 × 1,205.18
  4. Step 4: Simplify right side
    2,849.66x = 5,147,625.08
  5. Step 5: Solve for x
    x = 5,147,625.08/2,849.66
  6. Step 6: Final answer
    x = 1,806.40

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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.