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Finding the Fourth Proportional to 2,069.70, 3,104.55 and 2,021.70

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Solution

The fourth proportional to 2,069.70, 3,104.55 and 2,021.70 is: 3,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.70 : 3,104.55 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    2,069.70/3,104.55 = 2,021.70/x
  3. Step 3: Cross multiply
    2,069.70x = 3,104.55 × 2,021.70
  4. Step 4: Simplify right side
    2,069.70x = 6,276,468.74
  5. Step 5: Solve for x
    x = 6,276,468.74/2,069.70
  6. Step 6: Final answer
    x = 3,032.55

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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.