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Finding the Fourth Proportional to 1,902.19, 2,851.44 and 927.76

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Solution

The fourth proportional to 1,902.19, 2,851.44 and 927.76 is: 1,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.19 : 2,851.44 = 927.76 : x
  2. Step 2: Convert to fraction form
    1,902.19/2,851.44 = 927.76/x
  3. Step 3: Cross multiply
    1,902.19x = 2,851.44 × 927.76
  4. Step 4: Simplify right side
    1,902.19x = 2,645,451.97
  5. Step 5: Solve for x
    x = 2,645,451.97/1,902.19
  6. Step 6: Final answer
    x = 1,390.74

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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.