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Finding the Fourth Proportional to 2,556.48, 3,832.68 and 2,351.46

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Solution

The fourth proportional to 2,556.48, 3,832.68 and 2,351.46 is: 3,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.48 : 3,832.68 = 2,351.46 : x
  2. Step 2: Convert to fraction form
    2,556.48/3,832.68 = 2,351.46/x
  3. Step 3: Cross multiply
    2,556.48x = 3,832.68 × 2,351.46
  4. Step 4: Simplify right side
    2,556.48x = 9,012,393.71
  5. Step 5: Solve for x
    x = 9,012,393.71/2,556.48
  6. Step 6: Final answer
    x = 3,525.31

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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.