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Finding the Fourth Proportional to 1,890.81, 2,609.42 and 1,424.25

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Solution

The fourth proportional to 1,890.81, 2,609.42 and 1,424.25 is: 1,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.81 : 2,609.42 = 1,424.25 : x
  2. Step 2: Convert to fraction form
    1,890.81/2,609.42 = 1,424.25/x
  3. Step 3: Cross multiply
    1,890.81x = 2,609.42 × 1,424.25
  4. Step 4: Simplify right side
    1,890.81x = 3,716,459.31
  5. Step 5: Solve for x
    x = 3,716,459.31/1,890.81
  6. Step 6: Final answer
    x = 1,965.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.