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Finding the Fourth Proportional to 3,114.39, 4,671.64 and 1,264.23

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Solution

The fourth proportional to 3,114.39, 4,671.64 and 1,264.23 is: 1,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.39 : 4,671.64 = 1,264.23 : x
  2. Step 2: Convert to fraction form
    3,114.39/4,671.64 = 1,264.23/x
  3. Step 3: Cross multiply
    3,114.39x = 4,671.64 × 1,264.23
  4. Step 4: Simplify right side
    3,114.39x = 5,906,027.44
  5. Step 5: Solve for x
    x = 5,906,027.44/3,114.39
  6. Step 6: Final answer
    x = 1,896.37

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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.