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Finding the Fourth Proportional to 2,069.08, 3,100 and 1,724.63

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Solution

The fourth proportional to 2,069.08, 3,100 and 1,724.63 is: 2,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.08 : 3,100 = 1,724.63 : x
  2. Step 2: Convert to fraction form
    2,069.08/3,100 = 1,724.63/x
  3. Step 3: Cross multiply
    2,069.08x = 3,100 × 1,724.63
  4. Step 4: Simplify right side
    2,069.08x = 5,346,353
  5. Step 5: Solve for x
    x = 5,346,353/2,069.08
  6. Step 6: Final answer
    x = 2,583.93

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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.