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Finding the Fourth Proportional to 2,314.84, 3,468.78 and 926.80

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Solution

The fourth proportional to 2,314.84, 3,468.78 and 926.80 is: 1,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.84 : 3,468.78 = 926.80 : x
  2. Step 2: Convert to fraction form
    2,314.84/3,468.78 = 926.80/x
  3. Step 3: Cross multiply
    2,314.84x = 3,468.78 × 926.80
  4. Step 4: Simplify right side
    2,314.84x = 3,214,865.30
  5. Step 5: Solve for x
    x = 3,214,865.30/2,314.84
  6. Step 6: Final answer
    x = 1,388.81

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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.