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Finding the Fourth Proportional to 2,528.72, 3,489.73 and 1,409.81

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Solution

The fourth proportional to 2,528.72, 3,489.73 and 1,409.81 is: 1,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.72 : 3,489.73 = 1,409.81 : x
  2. Step 2: Convert to fraction form
    2,528.72/3,489.73 = 1,409.81/x
  3. Step 3: Cross multiply
    2,528.72x = 3,489.73 × 1,409.81
  4. Step 4: Simplify right side
    2,528.72x = 4,919,843.21
  5. Step 5: Solve for x
    x = 4,919,843.21/2,528.72
  6. Step 6: Final answer
    x = 1,945.59

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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.