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Finding the Fourth Proportional to 2,023, 3,034.54 and 655

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Solution

The fourth proportional to 2,023, 3,034.54 and 655 is: 982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 3,034.54 = 655 : x
  2. Step 2: Convert to fraction form
    2,023/3,034.54 = 655/x
  3. Step 3: Cross multiply
    2,023x = 3,034.54 × 655
  4. Step 4: Simplify right side
    2,023x = 1,987,623.70
  5. Step 5: Solve for x
    x = 1,987,623.70/2,023
  6. Step 6: Final answer
    x = 982.51

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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.