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Finding the Fourth Proportional to 3,200.46, 4,798.89 and 1,553.46

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Solution

The fourth proportional to 3,200.46, 4,798.89 and 1,553.46 is: 2,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.46 : 4,798.89 = 1,553.46 : x
  2. Step 2: Convert to fraction form
    3,200.46/4,798.89 = 1,553.46/x
  3. Step 3: Cross multiply
    3,200.46x = 4,798.89 × 1,553.46
  4. Step 4: Simplify right side
    3,200.46x = 7,454,883.66
  5. Step 5: Solve for x
    x = 7,454,883.66/3,200.46
  6. Step 6: Final answer
    x = 2,329.32

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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.