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Finding the Fourth Proportional to 3,289.60, 4,923.60 and 2,555.20

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Solution

The fourth proportional to 3,289.60, 4,923.60 and 2,555.20 is: 3,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.60 : 4,923.60 = 2,555.20 : x
  2. Step 2: Convert to fraction form
    3,289.60/4,923.60 = 2,555.20/x
  3. Step 3: Cross multiply
    3,289.60x = 4,923.60 × 2,555.20
  4. Step 4: Simplify right side
    3,289.60x = 12,580,782.72
  5. Step 5: Solve for x
    x = 12,580,782.72/3,289.60
  6. Step 6: Final answer
    x = 3,824.41

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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.