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Finding the Fourth Proportional to 2,264.40, 3,392.88 and 1,396.92

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Solution

The fourth proportional to 2,264.40, 3,392.88 and 1,396.92 is: 2,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.40 : 3,392.88 = 1,396.92 : x
  2. Step 2: Convert to fraction form
    2,264.40/3,392.88 = 1,396.92/x
  3. Step 3: Cross multiply
    2,264.40x = 3,392.88 × 1,396.92
  4. Step 4: Simplify right side
    2,264.40x = 4,739,581.93
  5. Step 5: Solve for x
    x = 4,739,581.93/2,264.40
  6. Step 6: Final answer
    x = 2,093.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.