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Finding the Fourth Proportional to 2,206.10, 3,309.96 and 907.68

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Solution

The fourth proportional to 2,206.10, 3,309.96 and 907.68 is: 1,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.10 : 3,309.96 = 907.68 : x
  2. Step 2: Convert to fraction form
    2,206.10/3,309.96 = 907.68/x
  3. Step 3: Cross multiply
    2,206.10x = 3,309.96 × 907.68
  4. Step 4: Simplify right side
    2,206.10x = 3,004,384.49
  5. Step 5: Solve for x
    x = 3,004,384.49/2,206.10
  6. Step 6: Final answer
    x = 1,361.85

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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.