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Finding the Fourth Proportional to 1,846.80, 2,772.90 and 1,436.40

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Solution

The fourth proportional to 1,846.80, 2,772.90 and 1,436.40 is: 2,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.80 : 2,772.90 = 1,436.40 : x
  2. Step 2: Convert to fraction form
    1,846.80/2,772.90 = 1,436.40/x
  3. Step 3: Cross multiply
    1,846.80x = 2,772.90 × 1,436.40
  4. Step 4: Simplify right side
    1,846.80x = 3,982,993.56
  5. Step 5: Solve for x
    x = 3,982,993.56/1,846.80
  6. Step 6: Final answer
    x = 2,156.70

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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.