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Finding the Fourth Proportional to 3,228, 4,454.92 and 2,048.64

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Solution

The fourth proportional to 3,228, 4,454.92 and 2,048.64 is: 2,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228 : 4,454.92 = 2,048.64 : x
  2. Step 2: Convert to fraction form
    3,228/4,454.92 = 2,048.64/x
  3. Step 3: Cross multiply
    3,228x = 4,454.92 × 2,048.64
  4. Step 4: Simplify right side
    3,228x = 9,126,527.31
  5. Step 5: Solve for x
    x = 9,126,527.31/3,228
  6. Step 6: Final answer
    x = 2,827.30

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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.