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Finding the Fourth Proportional to 2,646.45, 3,968.86 and 1,829.97

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Solution

The fourth proportional to 2,646.45, 3,968.86 and 1,829.97 is: 2,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.45 : 3,968.86 = 1,829.97 : x
  2. Step 2: Convert to fraction form
    2,646.45/3,968.86 = 1,829.97/x
  3. Step 3: Cross multiply
    2,646.45x = 3,968.86 × 1,829.97
  4. Step 4: Simplify right side
    2,646.45x = 7,262,894.73
  5. Step 5: Solve for x
    x = 7,262,894.73/2,646.45
  6. Step 6: Final answer
    x = 2,744.39

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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.