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Finding the Fourth Proportional to 3,230.28, 4,841.74 and 1,378.68

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Solution

The fourth proportional to 3,230.28, 4,841.74 and 1,378.68 is: 2,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.28 : 4,841.74 = 1,378.68 : x
  2. Step 2: Convert to fraction form
    3,230.28/4,841.74 = 1,378.68/x
  3. Step 3: Cross multiply
    3,230.28x = 4,841.74 × 1,378.68
  4. Step 4: Simplify right side
    3,230.28x = 6,675,210.10
  5. Step 5: Solve for x
    x = 6,675,210.10/3,230.28
  6. Step 6: Final answer
    x = 2,066.45

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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.