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Finding the Fourth Proportional to 3,206.08, 4,809.11 and 1,356.71

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Solution

The fourth proportional to 3,206.08, 4,809.11 and 1,356.71 is: 2,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.08 : 4,809.11 = 1,356.71 : x
  2. Step 2: Convert to fraction form
    3,206.08/4,809.11 = 1,356.71/x
  3. Step 3: Cross multiply
    3,206.08x = 4,809.11 × 1,356.71
  4. Step 4: Simplify right side
    3,206.08x = 6,524,567.63
  5. Step 5: Solve for x
    x = 6,524,567.63/3,206.08
  6. Step 6: Final answer
    x = 2,035.06

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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.