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Finding the Fourth Proportional to 2,376.47, 3,279.62 and 1,328.54

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Solution

The fourth proportional to 2,376.47, 3,279.62 and 1,328.54 is: 1,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.47 : 3,279.62 = 1,328.54 : x
  2. Step 2: Convert to fraction form
    2,376.47/3,279.62 = 1,328.54/x
  3. Step 3: Cross multiply
    2,376.47x = 3,279.62 × 1,328.54
  4. Step 4: Simplify right side
    2,376.47x = 4,357,093.28
  5. Step 5: Solve for x
    x = 4,357,093.28/2,376.47
  6. Step 6: Final answer
    x = 1,833.43

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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.