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Finding the Fourth Proportional to 4,787.26, 7,180.88 and 1,324.50

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Solution

The fourth proportional to 4,787.26, 7,180.88 and 1,324.50 is: 1,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.26 : 7,180.88 = 1,324.50 : x
  2. Step 2: Convert to fraction form
    4,787.26/7,180.88 = 1,324.50/x
  3. Step 3: Cross multiply
    4,787.26x = 7,180.88 × 1,324.50
  4. Step 4: Simplify right side
    4,787.26x = 9,511,075.56
  5. Step 5: Solve for x
    x = 9,511,075.56/4,787.26
  6. Step 6: Final answer
    x = 1,986.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.