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Finding the Fourth Proportional to 2,383.17, 3,573.78 and 921.39

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Solution

The fourth proportional to 2,383.17, 3,573.78 and 921.39 is: 1,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.17 : 3,573.78 = 921.39 : x
  2. Step 2: Convert to fraction form
    2,383.17/3,573.78 = 921.39/x
  3. Step 3: Cross multiply
    2,383.17x = 3,573.78 × 921.39
  4. Step 4: Simplify right side
    2,383.17x = 3,292,845.15
  5. Step 5: Solve for x
    x = 3,292,845.15/2,383.17
  6. Step 6: Final answer
    x = 1,381.71

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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.