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Finding the Fourth Proportional to 2,024, 3,024.28 and 1,608.80

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Solution

The fourth proportional to 2,024, 3,024.28 and 1,608.80 is: 2,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 3,024.28 = 1,608.80 : x
  2. Step 2: Convert to fraction form
    2,024/3,024.28 = 1,608.80/x
  3. Step 3: Cross multiply
    2,024x = 3,024.28 × 1,608.80
  4. Step 4: Simplify right side
    2,024x = 4,865,461.66
  5. Step 5: Solve for x
    x = 4,865,461.66/2,024
  6. Step 6: Final answer
    x = 2,403.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.