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Finding the Fourth Proportional to 2,185.83, 3,016.84 and 1,289.51

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Solution

The fourth proportional to 2,185.83, 3,016.84 and 1,289.51 is: 1,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.83 : 3,016.84 = 1,289.51 : x
  2. Step 2: Convert to fraction form
    2,185.83/3,016.84 = 1,289.51/x
  3. Step 3: Cross multiply
    2,185.83x = 3,016.84 × 1,289.51
  4. Step 4: Simplify right side
    2,185.83x = 3,890,249.67
  5. Step 5: Solve for x
    x = 3,890,249.67/2,185.83
  6. Step 6: Final answer
    x = 1,779.76

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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.