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Finding the Fourth Proportional to 2,753.92, 4,131.34 and 904.63

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Solution

The fourth proportional to 2,753.92, 4,131.34 and 904.63 is: 1,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.92 : 4,131.34 = 904.63 : x
  2. Step 2: Convert to fraction form
    2,753.92/4,131.34 = 904.63/x
  3. Step 3: Cross multiply
    2,753.92x = 4,131.34 × 904.63
  4. Step 4: Simplify right side
    2,753.92x = 3,737,321.51
  5. Step 5: Solve for x
    x = 3,737,321.51/2,753.92
  6. Step 6: Final answer
    x = 1,357.09

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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.