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Finding the Fourth Proportional to 2,913.63, 4,020.19 and 1,969.57

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Solution

The fourth proportional to 2,913.63, 4,020.19 and 1,969.57 is: 2,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.63 : 4,020.19 = 1,969.57 : x
  2. Step 2: Convert to fraction form
    2,913.63/4,020.19 = 1,969.57/x
  3. Step 3: Cross multiply
    2,913.63x = 4,020.19 × 1,969.57
  4. Step 4: Simplify right side
    2,913.63x = 7,918,045.62
  5. Step 5: Solve for x
    x = 7,918,045.62/2,913.63
  6. Step 6: Final answer
    x = 2,717.59

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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.