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Finding the Fourth Proportional to 2,992.23, 4,477.41 and 1,934.37

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Solution

The fourth proportional to 2,992.23, 4,477.41 and 1,934.37 is: 2,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.23 : 4,477.41 = 1,934.37 : x
  2. Step 2: Convert to fraction form
    2,992.23/4,477.41 = 1,934.37/x
  3. Step 3: Cross multiply
    2,992.23x = 4,477.41 × 1,934.37
  4. Step 4: Simplify right side
    2,992.23x = 8,660,967.58
  5. Step 5: Solve for x
    x = 8,660,967.58/2,992.23
  6. Step 6: Final answer
    x = 2,894.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.