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Finding the Fourth Proportional to 2,754.33, 4,131.76 and 904.69

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Solution

The fourth proportional to 2,754.33, 4,131.76 and 904.69 is: 1,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.33 : 4,131.76 = 904.69 : x
  2. Step 2: Convert to fraction form
    2,754.33/4,131.76 = 904.69/x
  3. Step 3: Cross multiply
    2,754.33x = 4,131.76 × 904.69
  4. Step 4: Simplify right side
    2,754.33x = 3,737,961.95
  5. Step 5: Solve for x
    x = 3,737,961.95/2,754.33
  6. Step 6: Final answer
    x = 1,357.12

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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.