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Finding the Fourth Proportional to 1,942.51, 2,913.81 and 626.38

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Solution

The fourth proportional to 1,942.51, 2,913.81 and 626.38 is: 939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.51 : 2,913.81 = 626.38 : x
  2. Step 2: Convert to fraction form
    1,942.51/2,913.81 = 626.38/x
  3. Step 3: Cross multiply
    1,942.51x = 2,913.81 × 626.38
  4. Step 4: Simplify right side
    1,942.51x = 1,825,152.31
  5. Step 5: Solve for x
    x = 1,825,152.31/1,942.51
  6. Step 6: Final answer
    x = 939.58

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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.