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Finding the Fourth Proportional to 2,707.31, 3,736.10 and 1,465.31

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Solution

The fourth proportional to 2,707.31, 3,736.10 and 1,465.31 is: 2,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.31 : 3,736.10 = 1,465.31 : x
  2. Step 2: Convert to fraction form
    2,707.31/3,736.10 = 1,465.31/x
  3. Step 3: Cross multiply
    2,707.31x = 3,736.10 × 1,465.31
  4. Step 4: Simplify right side
    2,707.31x = 5,474,557.69
  5. Step 5: Solve for x
    x = 5,474,557.69/2,707.31
  6. Step 6: Final answer
    x = 2,022.14

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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.