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Finding the Fourth Proportional to 2,707.82, 3,736.80 and 1,465.82

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Solution

The fourth proportional to 2,707.82, 3,736.80 and 1,465.82 is: 2,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.82 : 3,736.80 = 1,465.82 : x
  2. Step 2: Convert to fraction form
    2,707.82/3,736.80 = 1,465.82/x
  3. Step 3: Cross multiply
    2,707.82x = 3,736.80 × 1,465.82
  4. Step 4: Simplify right side
    2,707.82x = 5,477,476.18
  5. Step 5: Solve for x
    x = 5,477,476.18/2,707.82
  6. Step 6: Final answer
    x = 2,022.84

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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.