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Finding the Fourth Proportional to 2,902.28, 4,353.73 and 927.22

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Solution

The fourth proportional to 2,902.28, 4,353.73 and 927.22 is: 1,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.28 : 4,353.73 = 927.22 : x
  2. Step 2: Convert to fraction form
    2,902.28/4,353.73 = 927.22/x
  3. Step 3: Cross multiply
    2,902.28x = 4,353.73 × 927.22
  4. Step 4: Simplify right side
    2,902.28x = 4,036,877.95
  5. Step 5: Solve for x
    x = 4,036,877.95/2,902.28
  6. Step 6: Final answer
    x = 1,390.93

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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.