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Finding the Fourth Proportional to 2,639.69, 3,642.72 and 1,460.73

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Solution

The fourth proportional to 2,639.69, 3,642.72 and 1,460.73 is: 2,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.69 : 3,642.72 = 1,460.73 : x
  2. Step 2: Convert to fraction form
    2,639.69/3,642.72 = 1,460.73/x
  3. Step 3: Cross multiply
    2,639.69x = 3,642.72 × 1,460.73
  4. Step 4: Simplify right side
    2,639.69x = 5,321,030.39
  5. Step 5: Solve for x
    x = 5,321,030.39/2,639.69
  6. Step 6: Final answer
    x = 2,015.78

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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.