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Finding the Fourth Proportional to 1,920.31, 2,880.38 and 604.03

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Solution

The fourth proportional to 1,920.31, 2,880.38 and 604.03 is: 906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.31 : 2,880.38 = 604.03 : x
  2. Step 2: Convert to fraction form
    1,920.31/2,880.38 = 604.03/x
  3. Step 3: Cross multiply
    1,920.31x = 2,880.38 × 604.03
  4. Step 4: Simplify right side
    1,920.31x = 1,739,835.93
  5. Step 5: Solve for x
    x = 1,739,835.93/1,920.31
  6. Step 6: Final answer
    x = 906.02

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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.