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Finding the Fourth Proportional to 3,295.44, 4,547.70 and 1,969.08

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Solution

The fourth proportional to 3,295.44, 4,547.70 and 1,969.08 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.44 : 4,547.70 = 1,969.08 : x
  2. Step 2: Convert to fraction form
    3,295.44/4,547.70 = 1,969.08/x
  3. Step 3: Cross multiply
    3,295.44x = 4,547.70 × 1,969.08
  4. Step 4: Simplify right side
    3,295.44x = 8,954,785.12
  5. Step 5: Solve for x
    x = 8,954,785.12/3,295.44
  6. Step 6: Final answer
    x = 2,717.33

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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.