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Finding the Fourth Proportional to 2,420.67, 3,630.82 and 959.93

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Solution

The fourth proportional to 2,420.67, 3,630.82 and 959.93 is: 1,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.67 : 3,630.82 = 959.93 : x
  2. Step 2: Convert to fraction form
    2,420.67/3,630.82 = 959.93/x
  3. Step 3: Cross multiply
    2,420.67x = 3,630.82 × 959.93
  4. Step 4: Simplify right side
    2,420.67x = 3,485,333.04
  5. Step 5: Solve for x
    x = 3,485,333.04/2,420.67
  6. Step 6: Final answer
    x = 1,439.82

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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.