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Finding the Fourth Proportional to 2,655.81, 3,665.43 and 1,912.23

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Solution

The fourth proportional to 2,655.81, 3,665.43 and 1,912.23 is: 2,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.81 : 3,665.43 = 1,912.23 : x
  2. Step 2: Convert to fraction form
    2,655.81/3,665.43 = 1,912.23/x
  3. Step 3: Cross multiply
    2,655.81x = 3,665.43 × 1,912.23
  4. Step 4: Simplify right side
    2,655.81x = 7,009,145.21
  5. Step 5: Solve for x
    x = 7,009,145.21/2,655.81
  6. Step 6: Final answer
    x = 2,639.17

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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.