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Finding the Fourth Proportional to 2,256.37, 3,384.30 and 613.05

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Solution

The fourth proportional to 2,256.37, 3,384.30 and 613.05 is: 919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.37 : 3,384.30 = 613.05 : x
  2. Step 2: Convert to fraction form
    2,256.37/3,384.30 = 613.05/x
  3. Step 3: Cross multiply
    2,256.37x = 3,384.30 × 613.05
  4. Step 4: Simplify right side
    2,256.37x = 2,074,745.12
  5. Step 5: Solve for x
    x = 2,074,745.12/2,256.37
  6. Step 6: Final answer
    x = 919.51

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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.