Home / 1,631.14-2,441.17-982.33

Finding the Fourth Proportional to 1,631.14, 2,441.17 and 982.33

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Solution

The fourth proportional to 1,631.14, 2,441.17 and 982.33 is: 1,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.14 : 2,441.17 = 982.33 : x
  2. Step 2: Convert to fraction form
    1,631.14/2,441.17 = 982.33/x
  3. Step 3: Cross multiply
    1,631.14x = 2,441.17 × 982.33
  4. Step 4: Simplify right side
    1,631.14x = 2,398,034.53
  5. Step 5: Solve for x
    x = 2,398,034.53/1,631.14
  6. Step 6: Final answer
    x = 1,470.16

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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.