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Finding the Fourth Proportional to 2,894.65, 3,993.63 and 1,899.83

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Solution

The fourth proportional to 2,894.65, 3,993.63 and 1,899.83 is: 2,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.65 : 3,993.63 = 1,899.83 : x
  2. Step 2: Convert to fraction form
    2,894.65/3,993.63 = 1,899.83/x
  3. Step 3: Cross multiply
    2,894.65x = 3,993.63 × 1,899.83
  4. Step 4: Simplify right side
    2,894.65x = 7,587,218.08
  5. Step 5: Solve for x
    x = 7,587,218.08/2,894.65
  6. Step 6: Final answer
    x = 2,621.12

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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.