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Finding the Fourth Proportional to 1,629.25, 2,441.72 and 889.18

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Solution

The fourth proportional to 1,629.25, 2,441.72 and 889.18 is: 1,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.25 : 2,441.72 = 889.18 : x
  2. Step 2: Convert to fraction form
    1,629.25/2,441.72 = 889.18/x
  3. Step 3: Cross multiply
    1,629.25x = 2,441.72 × 889.18
  4. Step 4: Simplify right side
    1,629.25x = 2,171,124.71
  5. Step 5: Solve for x
    x = 2,171,124.71/1,629.25
  6. Step 6: Final answer
    x = 1,332.59

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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.