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Finding the Fourth Proportional to 2,846.66, 4,271.20 and 1,203.57

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Solution

The fourth proportional to 2,846.66, 4,271.20 and 1,203.57 is: 1,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.66 : 4,271.20 = 1,203.57 : x
  2. Step 2: Convert to fraction form
    2,846.66/4,271.20 = 1,203.57/x
  3. Step 3: Cross multiply
    2,846.66x = 4,271.20 × 1,203.57
  4. Step 4: Simplify right side
    2,846.66x = 5,140,685.18
  5. Step 5: Solve for x
    x = 5,140,685.18/2,846.66
  6. Step 6: Final answer
    x = 1,805.87

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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.