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Finding the Fourth Proportional to 1,716.69, 2,577.47 and 1,638.39

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Solution

The fourth proportional to 1,716.69, 2,577.47 and 1,638.39 is: 2,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.69 : 2,577.47 = 1,638.39 : x
  2. Step 2: Convert to fraction form
    1,716.69/2,577.47 = 1,638.39/x
  3. Step 3: Cross multiply
    1,716.69x = 2,577.47 × 1,638.39
  4. Step 4: Simplify right side
    1,716.69x = 4,222,892.88
  5. Step 5: Solve for x
    x = 4,222,892.88/1,716.69
  6. Step 6: Final answer
    x = 2,459.90

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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.