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Finding the Fourth Proportional to 3,227.40, 4,842.90 and 1,378.20

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Solution

The fourth proportional to 3,227.40, 4,842.90 and 1,378.20 is: 2,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.40 : 4,842.90 = 1,378.20 : x
  2. Step 2: Convert to fraction form
    3,227.40/4,842.90 = 1,378.20/x
  3. Step 3: Cross multiply
    3,227.40x = 4,842.90 × 1,378.20
  4. Step 4: Simplify right side
    3,227.40x = 6,674,484.78
  5. Step 5: Solve for x
    x = 6,674,484.78/3,227.40
  6. Step 6: Final answer
    x = 2,068.07

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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.