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Finding the Fourth Proportional to 1,544.52, 2,131.86 and 993.48

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Solution

The fourth proportional to 1,544.52, 2,131.86 and 993.48 is: 1,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.52 : 2,131.86 = 993.48 : x
  2. Step 2: Convert to fraction form
    1,544.52/2,131.86 = 993.48/x
  3. Step 3: Cross multiply
    1,544.52x = 2,131.86 × 993.48
  4. Step 4: Simplify right side
    1,544.52x = 2,117,960.27
  5. Step 5: Solve for x
    x = 2,117,960.27/1,544.52
  6. Step 6: Final answer
    x = 1,371.27

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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.