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Finding the Fourth Proportional to 1,735.14, 2,392.52 and 1,550.82

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Solution

The fourth proportional to 1,735.14, 2,392.52 and 1,550.82 is: 2,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.14 : 2,392.52 = 1,550.82 : x
  2. Step 2: Convert to fraction form
    1,735.14/2,392.52 = 1,550.82/x
  3. Step 3: Cross multiply
    1,735.14x = 2,392.52 × 1,550.82
  4. Step 4: Simplify right side
    1,735.14x = 3,710,367.87
  5. Step 5: Solve for x
    x = 3,710,367.87/1,735.14
  6. Step 6: Final answer
    x = 2,138.37

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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.