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Finding the Fourth Proportional to 2,200.54, 3,300.72 and 640.51

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Solution

The fourth proportional to 2,200.54, 3,300.72 and 640.51 is: 960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.54 : 3,300.72 = 640.51 : x
  2. Step 2: Convert to fraction form
    2,200.54/3,300.72 = 640.51/x
  3. Step 3: Cross multiply
    2,200.54x = 3,300.72 × 640.51
  4. Step 4: Simplify right side
    2,200.54x = 2,114,144.17
  5. Step 5: Solve for x
    x = 2,114,144.17/2,200.54
  6. Step 6: Final answer
    x = 960.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.