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Finding the Fourth Proportional to 1,635.40, 2,257.02 and 936.64

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Solution

The fourth proportional to 1,635.40, 2,257.02 and 936.64 is: 1,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.40 : 2,257.02 = 936.64 : x
  2. Step 2: Convert to fraction form
    1,635.40/2,257.02 = 936.64/x
  3. Step 3: Cross multiply
    1,635.40x = 2,257.02 × 936.64
  4. Step 4: Simplify right side
    1,635.40x = 2,114,015.21
  5. Step 5: Solve for x
    x = 2,114,015.21/1,635.40
  6. Step 6: Final answer
    x = 1,292.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.