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Finding the Fourth Proportional to 1,983.04, 2,975.06 and 1,162

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Solution

The fourth proportional to 1,983.04, 2,975.06 and 1,162 is: 1,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.04 : 2,975.06 = 1,162 : x
  2. Step 2: Convert to fraction form
    1,983.04/2,975.06 = 1,162/x
  3. Step 3: Cross multiply
    1,983.04x = 2,975.06 × 1,162
  4. Step 4: Simplify right side
    1,983.04x = 3,457,019.72
  5. Step 5: Solve for x
    x = 3,457,019.72/1,983.04
  6. Step 6: Final answer
    x = 1,743.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.