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Finding the Fourth Proportional to 2,160.75, 3,240.72 and 774.03

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Solution

The fourth proportional to 2,160.75, 3,240.72 and 774.03 is: 1,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.75 : 3,240.72 = 774.03 : x
  2. Step 2: Convert to fraction form
    2,160.75/3,240.72 = 774.03/x
  3. Step 3: Cross multiply
    2,160.75x = 3,240.72 × 774.03
  4. Step 4: Simplify right side
    2,160.75x = 2,508,414.50
  5. Step 5: Solve for x
    x = 2,508,414.50/2,160.75
  6. Step 6: Final answer
    x = 1,160.90

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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.