Home / 3,206.26-4,809.57-1,564.21

Finding the Fourth Proportional to 3,206.26, 4,809.57 and 1,564.21

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Solution

The fourth proportional to 3,206.26, 4,809.57 and 1,564.21 is: 2,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.26 : 4,809.57 = 1,564.21 : x
  2. Step 2: Convert to fraction form
    3,206.26/4,809.57 = 1,564.21/x
  3. Step 3: Cross multiply
    3,206.26x = 4,809.57 × 1,564.21
  4. Step 4: Simplify right side
    3,206.26x = 7,523,177.49
  5. Step 5: Solve for x
    x = 7,523,177.49/3,206.26
  6. Step 6: Final answer
    x = 2,346.40

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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.