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Finding the Fourth Proportional to 1,971.64, 2,703.22 and 1,936.52

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Solution

The fourth proportional to 1,971.64, 2,703.22 and 1,936.52 is: 2,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.64 : 2,703.22 = 1,936.52 : x
  2. Step 2: Convert to fraction form
    1,971.64/2,703.22 = 1,936.52/x
  3. Step 3: Cross multiply
    1,971.64x = 2,703.22 × 1,936.52
  4. Step 4: Simplify right side
    1,971.64x = 5,234,839.59
  5. Step 5: Solve for x
    x = 5,234,839.59/1,971.64
  6. Step 6: Final answer
    x = 2,655.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.