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Finding the Fourth Proportional to 2,024.25, 3,034.43 and 983.03

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Solution

The fourth proportional to 2,024.25, 3,034.43 and 983.03 is: 1,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.25 : 3,034.43 = 983.03 : x
  2. Step 2: Convert to fraction form
    2,024.25/3,034.43 = 983.03/x
  3. Step 3: Cross multiply
    2,024.25x = 3,034.43 × 983.03
  4. Step 4: Simplify right side
    2,024.25x = 2,982,915.64
  5. Step 5: Solve for x
    x = 2,982,915.64/2,024.25
  6. Step 6: Final answer
    x = 1,473.59

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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.