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Finding the Fourth Proportional to 2,114.88, 2,912.22 and 1,671.39

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Solution

The fourth proportional to 2,114.88, 2,912.22 and 1,671.39 is: 2,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.88 : 2,912.22 = 1,671.39 : x
  2. Step 2: Convert to fraction form
    2,114.88/2,912.22 = 1,671.39/x
  3. Step 3: Cross multiply
    2,114.88x = 2,912.22 × 1,671.39
  4. Step 4: Simplify right side
    2,114.88x = 4,867,455.39
  5. Step 5: Solve for x
    x = 4,867,455.39/2,114.88
  6. Step 6: Final answer
    x = 2,301.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.