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Finding the Fourth Proportional to 3,295.75, 4,547.73 and 1,969.19

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Solution

The fourth proportional to 3,295.75, 4,547.73 and 1,969.19 is: 2,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.75 : 4,547.73 = 1,969.19 : x
  2. Step 2: Convert to fraction form
    3,295.75/4,547.73 = 1,969.19/x
  3. Step 3: Cross multiply
    3,295.75x = 4,547.73 × 1,969.19
  4. Step 4: Simplify right side
    3,295.75x = 8,955,344.44
  5. Step 5: Solve for x
    x = 8,955,344.44/3,295.75
  6. Step 6: Final answer
    x = 2,717.24

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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.