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Finding the Fourth Proportional to 3,267.71, 4,509.49 and 1,775.62

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Solution

The fourth proportional to 3,267.71, 4,509.49 and 1,775.62 is: 2,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.71 : 4,509.49 = 1,775.62 : x
  2. Step 2: Convert to fraction form
    3,267.71/4,509.49 = 1,775.62/x
  3. Step 3: Cross multiply
    3,267.71x = 4,509.49 × 1,775.62
  4. Step 4: Simplify right side
    3,267.71x = 8,007,118.09
  5. Step 5: Solve for x
    x = 8,007,118.09/3,267.71
  6. Step 6: Final answer
    x = 2,450.38

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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.