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Finding the Fourth Proportional to 2,754.45, 4,131.95 and 904.82

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Solution

The fourth proportional to 2,754.45, 4,131.95 and 904.82 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.45 : 4,131.95 = 904.82 : x
  2. Step 2: Convert to fraction form
    2,754.45/4,131.95 = 904.82/x
  3. Step 3: Cross multiply
    2,754.45x = 4,131.95 × 904.82
  4. Step 4: Simplify right side
    2,754.45x = 3,738,645.82
  5. Step 5: Solve for x
    x = 3,738,645.82/2,754.45
  6. Step 6: Final answer
    x = 1,357.31

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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.