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Finding the Fourth Proportional to 2,376.74, 3,279.84 and 1,382.20

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Solution

The fourth proportional to 2,376.74, 3,279.84 and 1,382.20 is: 1,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.74 : 3,279.84 = 1,382.20 : x
  2. Step 2: Convert to fraction form
    2,376.74/3,279.84 = 1,382.20/x
  3. Step 3: Cross multiply
    2,376.74x = 3,279.84 × 1,382.20
  4. Step 4: Simplify right side
    2,376.74x = 4,533,394.85
  5. Step 5: Solve for x
    x = 4,533,394.85/2,376.74
  6. Step 6: Final answer
    x = 1,907.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.