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Finding the Fourth Proportional to 2,254.29, 3,381.53 and 867.33

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Solution

The fourth proportional to 2,254.29, 3,381.53 and 867.33 is: 1,301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.29 : 3,381.53 = 867.33 : x
  2. Step 2: Convert to fraction form
    2,254.29/3,381.53 = 867.33/x
  3. Step 3: Cross multiply
    2,254.29x = 3,381.53 × 867.33
  4. Step 4: Simplify right side
    2,254.29x = 2,932,898.08
  5. Step 5: Solve for x
    x = 2,932,898.08/2,254.29
  6. Step 6: Final answer
    x = 1,301.03

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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.