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Finding the Fourth Proportional to 2,087.66, 3,131.49 and 626.81

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Solution

The fourth proportional to 2,087.66, 3,131.49 and 626.81 is: 940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.66 : 3,131.49 = 626.81 : x
  2. Step 2: Convert to fraction form
    2,087.66/3,131.49 = 626.81/x
  3. Step 3: Cross multiply
    2,087.66x = 3,131.49 × 626.81
  4. Step 4: Simplify right side
    2,087.66x = 1,962,849.25
  5. Step 5: Solve for x
    x = 1,962,849.25/2,087.66
  6. Step 6: Final answer
    x = 940.22

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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.