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Finding the Fourth Proportional to 2,150.93, 2,970.62 and 1,732.67

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Solution

The fourth proportional to 2,150.93, 2,970.62 and 1,732.67 is: 2,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.93 : 2,970.62 = 1,732.67 : x
  2. Step 2: Convert to fraction form
    2,150.93/2,970.62 = 1,732.67/x
  3. Step 3: Cross multiply
    2,150.93x = 2,970.62 × 1,732.67
  4. Step 4: Simplify right side
    2,150.93x = 5,147,104.16
  5. Step 5: Solve for x
    x = 5,147,104.16/2,150.93
  6. Step 6: Final answer
    x = 2,392.97

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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.