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Finding the Fourth Proportional to 2,556.70, 3,832.65 and 2,001.10

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Solution

The fourth proportional to 2,556.70, 3,832.65 and 2,001.10 is: 2,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.70 : 3,832.65 = 2,001.10 : x
  2. Step 2: Convert to fraction form
    2,556.70/3,832.65 = 2,001.10/x
  3. Step 3: Cross multiply
    2,556.70x = 3,832.65 × 2,001.10
  4. Step 4: Simplify right side
    2,556.70x = 7,669,515.92
  5. Step 5: Solve for x
    x = 7,669,515.92/2,556.70
  6. Step 6: Final answer
    x = 2,999.77

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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.