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Finding the Fourth Proportional to 2,378.40, 3,279.12 and 1,911.84

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Solution

The fourth proportional to 2,378.40, 3,279.12 and 1,911.84 is: 2,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.40 : 3,279.12 = 1,911.84 : x
  2. Step 2: Convert to fraction form
    2,378.40/3,279.12 = 1,911.84/x
  3. Step 3: Cross multiply
    2,378.40x = 3,279.12 × 1,911.84
  4. Step 4: Simplify right side
    2,378.40x = 6,269,152.78
  5. Step 5: Solve for x
    x = 6,269,152.78/2,378.40
  6. Step 6: Final answer
    x = 2,635.87

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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.