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Finding the Fourth Proportional to 2,825.50, 4,230.05 and 2,529.10

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Solution

The fourth proportional to 2,825.50, 4,230.05 and 2,529.10 is: 3,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.50 : 4,230.05 = 2,529.10 : x
  2. Step 2: Convert to fraction form
    2,825.50/4,230.05 = 2,529.10/x
  3. Step 3: Cross multiply
    2,825.50x = 4,230.05 × 2,529.10
  4. Step 4: Simplify right side
    2,825.50x = 10,698,219.46
  5. Step 5: Solve for x
    x = 10,698,219.46/2,825.50
  6. Step 6: Final answer
    x = 3,786.31

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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.