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Finding the Fourth Proportional to 2,059.48, 3,085.82 and 1,511.88

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Solution

The fourth proportional to 2,059.48, 3,085.82 and 1,511.88 is: 2,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.48 : 3,085.82 = 1,511.88 : x
  2. Step 2: Convert to fraction form
    2,059.48/3,085.82 = 1,511.88/x
  3. Step 3: Cross multiply
    2,059.48x = 3,085.82 × 1,511.88
  4. Step 4: Simplify right side
    2,059.48x = 4,665,389.54
  5. Step 5: Solve for x
    x = 4,665,389.54/2,059.48
  6. Step 6: Final answer
    x = 2,265.32

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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.