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Finding the Fourth Proportional to 2,804.94, 4,207.86 and 1,344.06

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Solution

The fourth proportional to 2,804.94, 4,207.86 and 1,344.06 is: 2,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.94 : 4,207.86 = 1,344.06 : x
  2. Step 2: Convert to fraction form
    2,804.94/4,207.86 = 1,344.06/x
  3. Step 3: Cross multiply
    2,804.94x = 4,207.86 × 1,344.06
  4. Step 4: Simplify right side
    2,804.94x = 5,655,616.31
  5. Step 5: Solve for x
    x = 5,655,616.31/2,804.94
  6. Step 6: Final answer
    x = 2,016.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.