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Finding the Fourth Proportional to 1,922.53, 2,882.41 and 751.54

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Solution

The fourth proportional to 1,922.53, 2,882.41 and 751.54 is: 1,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.53 : 2,882.41 = 751.54 : x
  2. Step 2: Convert to fraction form
    1,922.53/2,882.41 = 751.54/x
  3. Step 3: Cross multiply
    1,922.53x = 2,882.41 × 751.54
  4. Step 4: Simplify right side
    1,922.53x = 2,166,246.41
  5. Step 5: Solve for x
    x = 2,166,246.41/1,922.53
  6. Step 6: Final answer
    x = 1,126.77

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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.