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Finding the Fourth Proportional to 1,995.77, 2,991.74 and 762.24

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Solution

The fourth proportional to 1,995.77, 2,991.74 and 762.24 is: 1,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.77 : 2,991.74 = 762.24 : x
  2. Step 2: Convert to fraction form
    1,995.77/2,991.74 = 762.24/x
  3. Step 3: Cross multiply
    1,995.77x = 2,991.74 × 762.24
  4. Step 4: Simplify right side
    1,995.77x = 2,280,431.31
  5. Step 5: Solve for x
    x = 2,280,431.31/1,995.77
  6. Step 6: Final answer
    x = 1,142.63

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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.