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Finding the Fourth Proportional to 2,968.98, 4,453.73 and 777.71

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Solution

The fourth proportional to 2,968.98, 4,453.73 and 777.71 is: 1,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.98 : 4,453.73 = 777.71 : x
  2. Step 2: Convert to fraction form
    2,968.98/4,453.73 = 777.71/x
  3. Step 3: Cross multiply
    2,968.98x = 4,453.73 × 777.71
  4. Step 4: Simplify right side
    2,968.98x = 3,463,716.90
  5. Step 5: Solve for x
    x = 3,463,716.90/2,968.98
  6. Step 6: Final answer
    x = 1,166.63

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1.5x scale

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.