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Finding the Fourth Proportional to 2,124.72, 2,932.09 and 1,193.22

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Solution

The fourth proportional to 2,124.72, 2,932.09 and 1,193.22 is: 1,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.72 : 2,932.09 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    2,124.72/2,932.09 = 1,193.22/x
  3. Step 3: Cross multiply
    2,124.72x = 2,932.09 × 1,193.22
  4. Step 4: Simplify right side
    2,124.72x = 3,498,625.45
  5. Step 5: Solve for x
    x = 3,498,625.45/2,124.72
  6. Step 6: Final answer
    x = 1,646.63

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