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Finding the Fourth Proportional to 2,167.06, 3,250.83 and 628.06

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Solution

The fourth proportional to 2,167.06, 3,250.83 and 628.06 is: 942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.06 : 3,250.83 = 628.06 : x
  2. Step 2: Convert to fraction form
    2,167.06/3,250.83 = 628.06/x
  3. Step 3: Cross multiply
    2,167.06x = 3,250.83 × 628.06
  4. Step 4: Simplify right side
    2,167.06x = 2,041,716.29
  5. Step 5: Solve for x
    x = 2,041,716.29/2,167.06
  6. Step 6: Final answer
    x = 942.16

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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.