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Finding the Fourth Proportional to 1,921.52, 2,649.92 and 1,282.33

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Solution

The fourth proportional to 1,921.52, 2,649.92 and 1,282.33 is: 1,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.52 : 2,649.92 = 1,282.33 : x
  2. Step 2: Convert to fraction form
    1,921.52/2,649.92 = 1,282.33/x
  3. Step 3: Cross multiply
    1,921.52x = 2,649.92 × 1,282.33
  4. Step 4: Simplify right side
    1,921.52x = 3,398,068.49
  5. Step 5: Solve for x
    x = 3,398,068.49/1,921.52
  6. Step 6: Final answer
    x = 1,768.43

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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.