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Finding the Fourth Proportional to 2,423.46, 3,634.41 and 942.58

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Solution

The fourth proportional to 2,423.46, 3,634.41 and 942.58 is: 1,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.46 : 3,634.41 = 942.58 : x
  2. Step 2: Convert to fraction form
    2,423.46/3,634.41 = 942.58/x
  3. Step 3: Cross multiply
    2,423.46x = 3,634.41 × 942.58
  4. Step 4: Simplify right side
    2,423.46x = 3,425,717.38
  5. Step 5: Solve for x
    x = 3,425,717.38/2,423.46
  6. Step 6: Final answer
    x = 1,413.56

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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.