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Finding the Fourth Proportional to 2,125, 2,932.54 and 1,193.56

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Solution

The fourth proportional to 2,125, 2,932.54 and 1,193.56 is: 1,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125 : 2,932.54 = 1,193.56 : x
  2. Step 2: Convert to fraction form
    2,125/2,932.54 = 1,193.56/x
  3. Step 3: Cross multiply
    2,125x = 2,932.54 × 1,193.56
  4. Step 4: Simplify right side
    2,125x = 3,500,162.44
  5. Step 5: Solve for x
    x = 3,500,162.44/2,125
  6. Step 6: Final answer
    x = 1,647.14

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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.