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Finding the Fourth Proportional to 2,095.05, 3,142.78 and 633.95

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Solution

The fourth proportional to 2,095.05, 3,142.78 and 633.95 is: 950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.05 : 3,142.78 = 633.95 : x
  2. Step 2: Convert to fraction form
    2,095.05/3,142.78 = 633.95/x
  3. Step 3: Cross multiply
    2,095.05x = 3,142.78 × 633.95
  4. Step 4: Simplify right side
    2,095.05x = 1,992,365.38
  5. Step 5: Solve for x
    x = 1,992,365.38/2,095.05
  6. Step 6: Final answer
    x = 950.99

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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.