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Finding the Fourth Proportional to 2,247.54, 3,371.37 and 786.84

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Solution

The fourth proportional to 2,247.54, 3,371.37 and 786.84 is: 1,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.54 : 3,371.37 = 786.84 : x
  2. Step 2: Convert to fraction form
    2,247.54/3,371.37 = 786.84/x
  3. Step 3: Cross multiply
    2,247.54x = 3,371.37 × 786.84
  4. Step 4: Simplify right side
    2,247.54x = 2,652,728.77
  5. Step 5: Solve for x
    x = 2,652,728.77/2,247.54
  6. Step 6: Final answer
    x = 1,180.28

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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.