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Finding the Fourth Proportional to 2,185.43, 3,264.63 and 1,965.71

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Solution

The fourth proportional to 2,185.43, 3,264.63 and 1,965.71 is: 2,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.43 : 3,264.63 = 1,965.71 : x
  2. Step 2: Convert to fraction form
    2,185.43/3,264.63 = 1,965.71/x
  3. Step 3: Cross multiply
    2,185.43x = 3,264.63 × 1,965.71
  4. Step 4: Simplify right side
    2,185.43x = 6,417,299.51
  5. Step 5: Solve for x
    x = 6,417,299.51/2,185.43
  6. Step 6: Final answer
    x = 2,936.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.