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Finding the Fourth Proportional to 2,222.32, 3,333.89 and 923.89

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Solution

The fourth proportional to 2,222.32, 3,333.89 and 923.89 is: 1,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.32 : 3,333.89 = 923.89 : x
  2. Step 2: Convert to fraction form
    2,222.32/3,333.89 = 923.89/x
  3. Step 3: Cross multiply
    2,222.32x = 3,333.89 × 923.89
  4. Step 4: Simplify right side
    2,222.32x = 3,080,147.63
  5. Step 5: Solve for x
    x = 3,080,147.63/2,222.32
  6. Step 6: Final answer
    x = 1,386.01

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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.