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Finding the Fourth Proportional to 1,908.52, 2,634.93 and 1,465.56

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Solution

The fourth proportional to 1,908.52, 2,634.93 and 1,465.56 is: 2,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.52 : 2,634.93 = 1,465.56 : x
  2. Step 2: Convert to fraction form
    1,908.52/2,634.93 = 1,465.56/x
  3. Step 3: Cross multiply
    1,908.52x = 2,634.93 × 1,465.56
  4. Step 4: Simplify right side
    1,908.52x = 3,861,648.01
  5. Step 5: Solve for x
    x = 3,861,648.01/1,908.52
  6. Step 6: Final answer
    x = 2,023.37

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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.