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Finding the Fourth Proportional to 2,173.50, 2,998.62 and 1,511.73

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Solution

The fourth proportional to 2,173.50, 2,998.62 and 1,511.73 is: 2,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.50 : 2,998.62 = 1,511.73 : x
  2. Step 2: Convert to fraction form
    2,173.50/2,998.62 = 1,511.73/x
  3. Step 3: Cross multiply
    2,173.50x = 2,998.62 × 1,511.73
  4. Step 4: Simplify right side
    2,173.50x = 4,533,103.81
  5. Step 5: Solve for x
    x = 4,533,103.81/2,173.50
  6. Step 6: Final answer
    x = 2,085.62

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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.