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Finding the Fourth Proportional to 3,228.66, 4,842.72 and 1,280.34

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Solution

The fourth proportional to 3,228.66, 4,842.72 and 1,280.34 is: 1,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.66 : 4,842.72 = 1,280.34 : x
  2. Step 2: Convert to fraction form
    3,228.66/4,842.72 = 1,280.34/x
  3. Step 3: Cross multiply
    3,228.66x = 4,842.72 × 1,280.34
  4. Step 4: Simplify right side
    3,228.66x = 6,200,328.12
  5. Step 5: Solve for x
    x = 6,200,328.12/3,228.66
  6. Step 6: Final answer
    x = 1,920.40

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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.