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Finding the Fourth Proportional to 1,963.86, 2,944.37 and 990.65

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Solution

The fourth proportional to 1,963.86, 2,944.37 and 990.65 is: 1,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.86 : 2,944.37 = 990.65 : x
  2. Step 2: Convert to fraction form
    1,963.86/2,944.37 = 990.65/x
  3. Step 3: Cross multiply
    1,963.86x = 2,944.37 × 990.65
  4. Step 4: Simplify right side
    1,963.86x = 2,916,820.47
  5. Step 5: Solve for x
    x = 2,916,820.47/1,963.86
  6. Step 6: Final answer
    x = 1,485.25

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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.