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Finding the Fourth Proportional to 2,222.64, 3,333.96 and 925.56

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Solution

The fourth proportional to 2,222.64, 3,333.96 and 925.56 is: 1,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.64 : 3,333.96 = 925.56 : x
  2. Step 2: Convert to fraction form
    2,222.64/3,333.96 = 925.56/x
  3. Step 3: Cross multiply
    2,222.64x = 3,333.96 × 925.56
  4. Step 4: Simplify right side
    2,222.64x = 3,085,780.02
  5. Step 5: Solve for x
    x = 3,085,780.02/2,222.64
  6. Step 6: Final answer
    x = 1,388.34

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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.