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Finding the Fourth Proportional to 2,920.39, 4,380.75 and 840.34

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Solution

The fourth proportional to 2,920.39, 4,380.75 and 840.34 is: 1,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.39 : 4,380.75 = 840.34 : x
  2. Step 2: Convert to fraction form
    2,920.39/4,380.75 = 840.34/x
  3. Step 3: Cross multiply
    2,920.39x = 4,380.75 × 840.34
  4. Step 4: Simplify right side
    2,920.39x = 3,681,333.29
  5. Step 5: Solve for x
    x = 3,681,333.29/2,920.39
  6. Step 6: Final answer
    x = 1,260.56

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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.