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Finding the Fourth Proportional to 3,204.70, 4,798.95 and 2,556.70

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Solution

The fourth proportional to 3,204.70, 4,798.95 and 2,556.70 is: 3,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.70 : 4,798.95 = 2,556.70 : x
  2. Step 2: Convert to fraction form
    3,204.70/4,798.95 = 2,556.70/x
  3. Step 3: Cross multiply
    3,204.70x = 4,798.95 × 2,556.70
  4. Step 4: Simplify right side
    3,204.70x = 12,269,475.47
  5. Step 5: Solve for x
    x = 12,269,475.47/3,204.70
  6. Step 6: Final answer
    x = 3,828.59

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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.