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Finding the Fourth Proportional to 2,150.64, 3,223.80 and 994.32

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Solution

The fourth proportional to 2,150.64, 3,223.80 and 994.32 is: 1,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.64 : 3,223.80 = 994.32 : x
  2. Step 2: Convert to fraction form
    2,150.64/3,223.80 = 994.32/x
  3. Step 3: Cross multiply
    2,150.64x = 3,223.80 × 994.32
  4. Step 4: Simplify right side
    2,150.64x = 3,205,488.82
  5. Step 5: Solve for x
    x = 3,205,488.82/2,150.64
  6. Step 6: Final answer
    x = 1,490.48

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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.