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Finding the Fourth Proportional to 2,556.68, 3,835.32 and 2,144.80

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Solution

The fourth proportional to 2,556.68, 3,835.32 and 2,144.80 is: 3,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.68 : 3,835.32 = 2,144.80 : x
  2. Step 2: Convert to fraction form
    2,556.68/3,835.32 = 2,144.80/x
  3. Step 3: Cross multiply
    2,556.68x = 3,835.32 × 2,144.80
  4. Step 4: Simplify right side
    2,556.68x = 8,225,994.34
  5. Step 5: Solve for x
    x = 8,225,994.34/2,556.68
  6. Step 6: Final answer
    x = 3,217.45

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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.