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Finding the Fourth Proportional to 2,763.94, 3,814.12 and 1,584.19

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Solution

The fourth proportional to 2,763.94, 3,814.12 and 1,584.19 is: 2,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.94 : 3,814.12 = 1,584.19 : x
  2. Step 2: Convert to fraction form
    2,763.94/3,814.12 = 1,584.19/x
  3. Step 3: Cross multiply
    2,763.94x = 3,814.12 × 1,584.19
  4. Step 4: Simplify right side
    2,763.94x = 6,042,290.76
  5. Step 5: Solve for x
    x = 6,042,290.76/2,763.94
  6. Step 6: Final answer
    x = 2,186.12

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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.