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Finding the Fourth Proportional to 2,200.57, 3,300.84 and 661.57

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Solution

The fourth proportional to 2,200.57, 3,300.84 and 661.57 is: 992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.57 : 3,300.84 = 661.57 : x
  2. Step 2: Convert to fraction form
    2,200.57/3,300.84 = 661.57/x
  3. Step 3: Cross multiply
    2,200.57x = 3,300.84 × 661.57
  4. Step 4: Simplify right side
    2,200.57x = 2,183,736.72
  5. Step 5: Solve for x
    x = 2,183,736.72/2,200.57
  6. Step 6: Final answer
    x = 992.35

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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.