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Finding the Fourth Proportional to 1,846.30, 2,772.75 and 1,771.98

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Solution

The fourth proportional to 1,846.30, 2,772.75 and 1,771.98 is: 2,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.30 : 2,772.75 = 1,771.98 : x
  2. Step 2: Convert to fraction form
    1,846.30/2,772.75 = 1,771.98/x
  3. Step 3: Cross multiply
    1,846.30x = 2,772.75 × 1,771.98
  4. Step 4: Simplify right side
    1,846.30x = 4,913,247.87
  5. Step 5: Solve for x
    x = 4,913,247.87/1,846.30
  6. Step 6: Final answer
    x = 2,661.13

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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.