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Finding the Fourth Proportional to 2,554.52, 3,829.12 and 1,732.86

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Solution

The fourth proportional to 2,554.52, 3,829.12 and 1,732.86 is: 2,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.52 : 3,829.12 = 1,732.86 : x
  2. Step 2: Convert to fraction form
    2,554.52/3,829.12 = 1,732.86/x
  3. Step 3: Cross multiply
    2,554.52x = 3,829.12 × 1,732.86
  4. Step 4: Simplify right side
    2,554.52x = 6,635,328.88
  5. Step 5: Solve for x
    x = 6,635,328.88/2,554.52
  6. Step 6: Final answer
    x = 2,597.49

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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.