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Finding the Fourth Proportional to 2,149.93, 2,969.24 and 1,731.67

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Solution

The fourth proportional to 2,149.93, 2,969.24 and 1,731.67 is: 2,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.93 : 2,969.24 = 1,731.67 : x
  2. Step 2: Convert to fraction form
    2,149.93/2,969.24 = 1,731.67/x
  3. Step 3: Cross multiply
    2,149.93x = 2,969.24 × 1,731.67
  4. Step 4: Simplify right side
    2,149.93x = 5,141,743.83
  5. Step 5: Solve for x
    x = 5,141,743.83/2,149.93
  6. Step 6: Final answer
    x = 2,391.59

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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.