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Finding the Fourth Proportional to 1,335.28, 2,003.84 and 945.26

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Solution

The fourth proportional to 1,335.28, 2,003.84 and 945.26 is: 1,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.28 : 2,003.84 = 945.26 : x
  2. Step 2: Convert to fraction form
    1,335.28/2,003.84 = 945.26/x
  3. Step 3: Cross multiply
    1,335.28x = 2,003.84 × 945.26
  4. Step 4: Simplify right side
    1,335.28x = 1,894,149.80
  5. Step 5: Solve for x
    x = 1,894,149.80/1,335.28
  6. Step 6: Final answer
    x = 1,418.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.