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Finding the Fourth Proportional to 2,553.61, 3,824.38 and 2,024.82

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Solution

The fourth proportional to 2,553.61, 3,824.38 and 2,024.82 is: 3,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.61 : 3,824.38 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    2,553.61/3,824.38 = 2,024.82/x
  3. Step 3: Cross multiply
    2,553.61x = 3,824.38 × 2,024.82
  4. Step 4: Simplify right side
    2,553.61x = 7,743,681.11
  5. Step 5: Solve for x
    x = 7,743,681.11/2,553.61
  6. Step 6: Final answer
    x = 3,032.44

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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.