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Finding the Fourth Proportional to 2,884.44, 3,980.52 and 1,705.92

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Solution

The fourth proportional to 2,884.44, 3,980.52 and 1,705.92 is: 2,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.44 : 3,980.52 = 1,705.92 : x
  2. Step 2: Convert to fraction form
    2,884.44/3,980.52 = 1,705.92/x
  3. Step 3: Cross multiply
    2,884.44x = 3,980.52 × 1,705.92
  4. Step 4: Simplify right side
    2,884.44x = 6,790,448.68
  5. Step 5: Solve for x
    x = 6,790,448.68/2,884.44
  6. Step 6: Final answer
    x = 2,354.17

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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.