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Finding the Fourth Proportional to 2,592, 3,882.12 and 1,549.94

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Solution

The fourth proportional to 2,592, 3,882.12 and 1,549.94 is: 2,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592 : 3,882.12 = 1,549.94 : x
  2. Step 2: Convert to fraction form
    2,592/3,882.12 = 1,549.94/x
  3. Step 3: Cross multiply
    2,592x = 3,882.12 × 1,549.94
  4. Step 4: Simplify right side
    2,592x = 6,017,053.07
  5. Step 5: Solve for x
    x = 6,017,053.07/2,592
  6. Step 6: Final answer
    x = 2,321.39

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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.