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Finding the Fourth Proportional to 2,376.47, 3,279.74 and 1,314.34

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Solution

The fourth proportional to 2,376.47, 3,279.74 and 1,314.34 is: 1,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.47 : 3,279.74 = 1,314.34 : x
  2. Step 2: Convert to fraction form
    2,376.47/3,279.74 = 1,314.34/x
  3. Step 3: Cross multiply
    2,376.47x = 3,279.74 × 1,314.34
  4. Step 4: Simplify right side
    2,376.47x = 4,310,678.70
  5. Step 5: Solve for x
    x = 4,310,678.70/2,376.47
  6. Step 6: Final answer
    x = 1,813.90

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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.