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Finding the Fourth Proportional to 2,376.70, 3,279.56 and 1,314.32

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Solution

The fourth proportional to 2,376.70, 3,279.56 and 1,314.32 is: 1,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.70 : 3,279.56 = 1,314.32 : x
  2. Step 2: Convert to fraction form
    2,376.70/3,279.56 = 1,314.32/x
  3. Step 3: Cross multiply
    2,376.70x = 3,279.56 × 1,314.32
  4. Step 4: Simplify right side
    2,376.70x = 4,310,391.30
  5. Step 5: Solve for x
    x = 4,310,391.30/2,376.70
  6. Step 6: Final answer
    x = 1,813.60

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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.