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Finding the Fourth Proportional to 2,376.64, 3,279.88 and 1,328.80

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Solution

The fourth proportional to 2,376.64, 3,279.88 and 1,328.80 is: 1,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.64 : 3,279.88 = 1,328.80 : x
  2. Step 2: Convert to fraction form
    2,376.64/3,279.88 = 1,328.80/x
  3. Step 3: Cross multiply
    2,376.64x = 3,279.88 × 1,328.80
  4. Step 4: Simplify right side
    2,376.64x = 4,358,304.54
  5. Step 5: Solve for x
    x = 4,358,304.54/2,376.64
  6. Step 6: Final answer
    x = 1,833.81

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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.