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Finding the Fourth Proportional to 2,240.85, 3,361.31 and 780.02

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Solution

The fourth proportional to 2,240.85, 3,361.31 and 780.02 is: 1,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.85 : 3,361.31 = 780.02 : x
  2. Step 2: Convert to fraction form
    2,240.85/3,361.31 = 780.02/x
  3. Step 3: Cross multiply
    2,240.85x = 3,361.31 × 780.02
  4. Step 4: Simplify right side
    2,240.85x = 2,621,889.03
  5. Step 5: Solve for x
    x = 2,621,889.03/2,240.85
  6. Step 6: Final answer
    x = 1,170.04

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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.