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Finding the Fourth Proportional to 2,093.43, 2,889.02 and 1,197.32

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Solution

The fourth proportional to 2,093.43, 2,889.02 and 1,197.32 is: 1,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.43 : 2,889.02 = 1,197.32 : x
  2. Step 2: Convert to fraction form
    2,093.43/2,889.02 = 1,197.32/x
  3. Step 3: Cross multiply
    2,093.43x = 2,889.02 × 1,197.32
  4. Step 4: Simplify right side
    2,093.43x = 3,459,060.99
  5. Step 5: Solve for x
    x = 3,459,060.99/2,093.43
  6. Step 6: Final answer
    x = 1,652.34

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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.