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Finding the Fourth Proportional to 2,556.80, 3,829.80 and 2,124.80

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Solution

The fourth proportional to 2,556.80, 3,829.80 and 2,124.80 is: 3,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.80 : 3,829.80 = 2,124.80 : x
  2. Step 2: Convert to fraction form
    2,556.80/3,829.80 = 2,124.80/x
  3. Step 3: Cross multiply
    2,556.80x = 3,829.80 × 2,124.80
  4. Step 4: Simplify right side
    2,556.80x = 8,137,559.04
  5. Step 5: Solve for x
    x = 8,137,559.04/2,556.80
  6. Step 6: Final answer
    x = 3,182.71

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1.5x scale

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.