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Finding the Fourth Proportional to 2,087.70, 3,131.55 and 2,087.70

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Solution

The fourth proportional to 2,087.70, 3,131.55 and 2,087.70 is: 3,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.70 : 3,131.55 = 2,087.70 : x
  2. Step 2: Convert to fraction form
    2,087.70/3,131.55 = 2,087.70/x
  3. Step 3: Cross multiply
    2,087.70x = 3,131.55 × 2,087.70
  4. Step 4: Simplify right side
    2,087.70x = 6,537,736.94
  5. Step 5: Solve for x
    x = 6,537,736.94/2,087.70
  6. Step 6: Final answer
    x = 3,131.55

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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.