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Finding the Fourth Proportional to 3,104.92, 4,284.53 and 1,828.59

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Solution

The fourth proportional to 3,104.92, 4,284.53 and 1,828.59 is: 2,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.92 : 4,284.53 = 1,828.59 : x
  2. Step 2: Convert to fraction form
    3,104.92/4,284.53 = 1,828.59/x
  3. Step 3: Cross multiply
    3,104.92x = 4,284.53 × 1,828.59
  4. Step 4: Simplify right side
    3,104.92x = 7,834,650.28
  5. Step 5: Solve for x
    x = 7,834,650.28/3,104.92
  6. Step 6: Final answer
    x = 2,523.30

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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.