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Finding the Fourth Proportional to 4,964.60, 7,441.65 and 1,842.60

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Solution

The fourth proportional to 4,964.60, 7,441.65 and 1,842.60 is: 2,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.60 : 7,441.65 = 1,842.60 : x
  2. Step 2: Convert to fraction form
    4,964.60/7,441.65 = 1,842.60/x
  3. Step 3: Cross multiply
    4,964.60x = 7,441.65 × 1,842.60
  4. Step 4: Simplify right side
    4,964.60x = 13,711,984.29
  5. Step 5: Solve for x
    x = 13,711,984.29/4,964.60
  6. Step 6: Final answer
    x = 2,761.95

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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.