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Finding the Fourth Proportional to 3,181, 4,390.58 and 2,120.52

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Solution

The fourth proportional to 3,181, 4,390.58 and 2,120.52 is: 2,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181 : 4,390.58 = 2,120.52 : x
  2. Step 2: Convert to fraction form
    3,181/4,390.58 = 2,120.52/x
  3. Step 3: Cross multiply
    3,181x = 4,390.58 × 2,120.52
  4. Step 4: Simplify right side
    3,181x = 9,310,312.70
  5. Step 5: Solve for x
    x = 9,310,312.70/3,181
  6. Step 6: Final answer
    x = 2,926.85

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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.