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Finding the Fourth Proportional to 2,553.02, 3,829.49 and 1,014.02

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Solution

The fourth proportional to 2,553.02, 3,829.49 and 1,014.02 is: 1,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.02 : 3,829.49 = 1,014.02 : x
  2. Step 2: Convert to fraction form
    2,553.02/3,829.49 = 1,014.02/x
  3. Step 3: Cross multiply
    2,553.02x = 3,829.49 × 1,014.02
  4. Step 4: Simplify right side
    2,553.02x = 3,883,179.45
  5. Step 5: Solve for x
    x = 3,883,179.45/2,553.02
  6. Step 6: Final answer
    x = 1,521.01

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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.