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Finding the Fourth Proportional to 2,093.67, 2,889.29 and 1,149.51

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Solution

The fourth proportional to 2,093.67, 2,889.29 and 1,149.51 is: 1,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.67 : 2,889.29 = 1,149.51 : x
  2. Step 2: Convert to fraction form
    2,093.67/2,889.29 = 1,149.51/x
  3. Step 3: Cross multiply
    2,093.67x = 2,889.29 × 1,149.51
  4. Step 4: Simplify right side
    2,093.67x = 3,321,267.75
  5. Step 5: Solve for x
    x = 3,321,267.75/2,093.67
  6. Step 6: Final answer
    x = 1,586.34

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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.