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Finding the Fourth Proportional to 1,608.42, 2,407.89 and 1,441.71

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Solution

The fourth proportional to 1,608.42, 2,407.89 and 1,441.71 is: 2,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.42 : 2,407.89 = 1,441.71 : x
  2. Step 2: Convert to fraction form
    1,608.42/2,407.89 = 1,441.71/x
  3. Step 3: Cross multiply
    1,608.42x = 2,407.89 × 1,441.71
  4. Step 4: Simplify right side
    1,608.42x = 3,471,479.09
  5. Step 5: Solve for x
    x = 3,471,479.09/1,608.42
  6. Step 6: Final answer
    x = 2,158.32

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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.