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Finding the Fourth Proportional to 1,489.96, 2,233.14 and 1,076.23

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Solution

The fourth proportional to 1,489.96, 2,233.14 and 1,076.23 is: 1,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.96 : 2,233.14 = 1,076.23 : x
  2. Step 2: Convert to fraction form
    1,489.96/2,233.14 = 1,076.23/x
  3. Step 3: Cross multiply
    1,489.96x = 2,233.14 × 1,076.23
  4. Step 4: Simplify right side
    1,489.96x = 2,403,372.26
  5. Step 5: Solve for x
    x = 2,403,372.26/1,489.96
  6. Step 6: Final answer
    x = 1,613.04

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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.