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Finding the Fourth Proportional to 2,635.92, 3,954.48 and 904.56

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Solution

The fourth proportional to 2,635.92, 3,954.48 and 904.56 is: 1,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.92 : 3,954.48 = 904.56 : x
  2. Step 2: Convert to fraction form
    2,635.92/3,954.48 = 904.56/x
  3. Step 3: Cross multiply
    2,635.92x = 3,954.48 × 904.56
  4. Step 4: Simplify right side
    2,635.92x = 3,577,064.43
  5. Step 5: Solve for x
    x = 3,577,064.43/2,635.92
  6. Step 6: Final answer
    x = 1,357.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.