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Finding the Fourth Proportional to 2,894.33, 4,339.67 and 1,906.08

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Solution

The fourth proportional to 2,894.33, 4,339.67 and 1,906.08 is: 2,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.33 : 4,339.67 = 1,906.08 : x
  2. Step 2: Convert to fraction form
    2,894.33/4,339.67 = 1,906.08/x
  3. Step 3: Cross multiply
    2,894.33x = 4,339.67 × 1,906.08
  4. Step 4: Simplify right side
    2,894.33x = 8,271,726.96
  5. Step 5: Solve for x
    x = 8,271,726.96/2,894.33
  6. Step 6: Final answer
    x = 2,857.91

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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.