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Finding the Fourth Proportional to 2,894.12, 3,993.72 and 1,698.93

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Solution

The fourth proportional to 2,894.12, 3,993.72 and 1,698.93 is: 2,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.12 : 3,993.72 = 1,698.93 : x
  2. Step 2: Convert to fraction form
    2,894.12/3,993.72 = 1,698.93/x
  3. Step 3: Cross multiply
    2,894.12x = 3,993.72 × 1,698.93
  4. Step 4: Simplify right side
    2,894.12x = 6,785,050.72
  5. Step 5: Solve for x
    x = 6,785,050.72/2,894.12
  6. Step 6: Final answer
    x = 2,344.43

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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.