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Finding the Fourth Proportional to 2,378.76, 3,282.43 and 1,384.24

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Solution

The fourth proportional to 2,378.76, 3,282.43 and 1,384.24 is: 1,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.76 : 3,282.43 = 1,384.24 : x
  2. Step 2: Convert to fraction form
    2,378.76/3,282.43 = 1,384.24/x
  3. Step 3: Cross multiply
    2,378.76x = 3,282.43 × 1,384.24
  4. Step 4: Simplify right side
    2,378.76x = 4,543,647.57
  5. Step 5: Solve for x
    x = 4,543,647.57/2,378.76
  6. Step 6: Final answer
    x = 1,910.09

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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.