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Finding the Fourth Proportional to 3,017.57, 4,164.24 and 1,969.63

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Solution

The fourth proportional to 3,017.57, 4,164.24 and 1,969.63 is: 2,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.57 : 4,164.24 = 1,969.63 : x
  2. Step 2: Convert to fraction form
    3,017.57/4,164.24 = 1,969.63/x
  3. Step 3: Cross multiply
    3,017.57x = 4,164.24 × 1,969.63
  4. Step 4: Simplify right side
    3,017.57x = 8,201,991.21
  5. Step 5: Solve for x
    x = 8,201,991.21/3,017.57
  6. Step 6: Final answer
    x = 2,718.08

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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.