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Finding the Fourth Proportional to 2,921.82, 4,383.50 and 974.04

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Solution

The fourth proportional to 2,921.82, 4,383.50 and 974.04 is: 1,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.82 : 4,383.50 = 974.04 : x
  2. Step 2: Convert to fraction form
    2,921.82/4,383.50 = 974.04/x
  3. Step 3: Cross multiply
    2,921.82x = 4,383.50 × 974.04
  4. Step 4: Simplify right side
    2,921.82x = 4,269,699.47
  5. Step 5: Solve for x
    x = 4,269,699.47/2,921.82
  6. Step 6: Final answer
    x = 1,461.32

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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.