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Finding the Fourth Proportional to 2,223.96, 3,334.14 and 926.40

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Solution

The fourth proportional to 2,223.96, 3,334.14 and 926.40 is: 1,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.96 : 3,334.14 = 926.40 : x
  2. Step 2: Convert to fraction form
    2,223.96/3,334.14 = 926.40/x
  3. Step 3: Cross multiply
    2,223.96x = 3,334.14 × 926.40
  4. Step 4: Simplify right side
    2,223.96x = 3,088,747.30
  5. Step 5: Solve for x
    x = 3,088,747.30/2,223.96
  6. Step 6: Final answer
    x = 1,388.85

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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.