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Finding the Fourth Proportional to 1,490.63, 2,234.08 and 942.97

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Solution

The fourth proportional to 1,490.63, 2,234.08 and 942.97 is: 1,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.63 : 2,234.08 = 942.97 : x
  2. Step 2: Convert to fraction form
    1,490.63/2,234.08 = 942.97/x
  3. Step 3: Cross multiply
    1,490.63x = 2,234.08 × 942.97
  4. Step 4: Simplify right side
    1,490.63x = 2,106,663.92
  5. Step 5: Solve for x
    x = 2,106,663.92/1,490.63
  6. Step 6: Final answer
    x = 1,413.27

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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.