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Finding the Fourth Proportional to 3,310.95, 4,567.80 and 1,984.78

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Solution

The fourth proportional to 3,310.95, 4,567.80 and 1,984.78 is: 2,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.95 : 4,567.80 = 1,984.78 : x
  2. Step 2: Convert to fraction form
    3,310.95/4,567.80 = 1,984.78/x
  3. Step 3: Cross multiply
    3,310.95x = 4,567.80 × 1,984.78
  4. Step 4: Simplify right side
    3,310.95x = 9,066,078.08
  5. Step 5: Solve for x
    x = 9,066,078.08/3,310.95
  6. Step 6: Final answer
    x = 2,738.21

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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.