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Finding the Fourth Proportional to 1,935.12, 2,902.89 and 636.58

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Solution

The fourth proportional to 1,935.12, 2,902.89 and 636.58 is: 954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.12 : 2,902.89 = 636.58 : x
  2. Step 2: Convert to fraction form
    1,935.12/2,902.89 = 636.58/x
  3. Step 3: Cross multiply
    1,935.12x = 2,902.89 × 636.58
  4. Step 4: Simplify right side
    1,935.12x = 1,847,921.72
  5. Step 5: Solve for x
    x = 1,847,921.72/1,935.12
  6. Step 6: Final answer
    x = 954.94

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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.