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Finding the Fourth Proportional to 3,267.70, 4,509.47 and 1,775.64

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Solution

The fourth proportional to 3,267.70, 4,509.47 and 1,775.64 is: 2,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.70 : 4,509.47 = 1,775.64 : x
  2. Step 2: Convert to fraction form
    3,267.70/4,509.47 = 1,775.64/x
  3. Step 3: Cross multiply
    3,267.70x = 4,509.47 × 1,775.64
  4. Step 4: Simplify right side
    3,267.70x = 8,007,195.31
  5. Step 5: Solve for x
    x = 8,007,195.31/3,267.70
  6. Step 6: Final answer
    x = 2,450.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.