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Finding the Fourth Proportional to 3,280, 4,525.59 and 2,004.55

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Solution

The fourth proportional to 3,280, 4,525.59 and 2,004.55 is: 2,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280 : 4,525.59 = 2,004.55 : x
  2. Step 2: Convert to fraction form
    3,280/4,525.59 = 2,004.55/x
  3. Step 3: Cross multiply
    3,280x = 4,525.59 × 2,004.55
  4. Step 4: Simplify right side
    3,280x = 9,071,771.43
  5. Step 5: Solve for x
    x = 9,071,771.43/3,280
  6. Step 6: Final answer
    x = 2,765.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.