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Finding the Fourth Proportional to 2,150.43, 2,969.93 and 1,732.17

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Solution

The fourth proportional to 2,150.43, 2,969.93 and 1,732.17 is: 2,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.43 : 2,969.93 = 1,732.17 : x
  2. Step 2: Convert to fraction form
    2,150.43/2,969.93 = 1,732.17/x
  3. Step 3: Cross multiply
    2,150.43x = 2,969.93 × 1,732.17
  4. Step 4: Simplify right side
    2,150.43x = 5,144,423.65
  5. Step 5: Solve for x
    x = 5,144,423.65/2,150.43
  6. Step 6: Final answer
    x = 2,392.28

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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.