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Finding the Fourth Proportional to 2,528.36, 3,489.17 and 1,409.28

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Solution

The fourth proportional to 2,528.36, 3,489.17 and 1,409.28 is: 1,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.36 : 3,489.17 = 1,409.28 : x
  2. Step 2: Convert to fraction form
    2,528.36/3,489.17 = 1,409.28/x
  3. Step 3: Cross multiply
    2,528.36x = 3,489.17 × 1,409.28
  4. Step 4: Simplify right side
    2,528.36x = 4,917,217.50
  5. Step 5: Solve for x
    x = 4,917,217.50/2,528.36
  6. Step 6: Final answer
    x = 1,944.82

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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.