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Finding the Fourth Proportional to 2,022.66, 3,034.80 and 982.08

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Solution

The fourth proportional to 2,022.66, 3,034.80 and 982.08 is: 1,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.66 : 3,034.80 = 982.08 : x
  2. Step 2: Convert to fraction form
    2,022.66/3,034.80 = 982.08/x
  3. Step 3: Cross multiply
    2,022.66x = 3,034.80 × 982.08
  4. Step 4: Simplify right side
    2,022.66x = 2,980,416.38
  5. Step 5: Solve for x
    x = 2,980,416.38/2,022.66
  6. Step 6: Final answer
    x = 1,473.51

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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.