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Finding the Fourth Proportional to 2,553.78, 3,828 and 1,732.10

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Solution

The fourth proportional to 2,553.78, 3,828 and 1,732.10 is: 2,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.78 : 3,828 = 1,732.10 : x
  2. Step 2: Convert to fraction form
    2,553.78/3,828 = 1,732.10/x
  3. Step 3: Cross multiply
    2,553.78x = 3,828 × 1,732.10
  4. Step 4: Simplify right side
    2,553.78x = 6,630,478.80
  5. Step 5: Solve for x
    x = 6,630,478.80/2,553.78
  6. Step 6: Final answer
    x = 2,596.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.