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Finding the Fourth Proportional to 2,150.64, 3,225.26 and 689.44

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Solution

The fourth proportional to 2,150.64, 3,225.26 and 689.44 is: 1,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.64 : 3,225.26 = 689.44 : x
  2. Step 2: Convert to fraction form
    2,150.64/3,225.26 = 689.44/x
  3. Step 3: Cross multiply
    2,150.64x = 3,225.26 × 689.44
  4. Step 4: Simplify right side
    2,150.64x = 2,223,623.25
  5. Step 5: Solve for x
    x = 2,223,623.25/2,150.64
  6. Step 6: Final answer
    x = 1,033.94

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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.