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Finding the Fourth Proportional to 1,954.18, 2,930.06 and 1,338.60

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Solution

The fourth proportional to 1,954.18, 2,930.06 and 1,338.60 is: 2,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.18 : 2,930.06 = 1,338.60 : x
  2. Step 2: Convert to fraction form
    1,954.18/2,930.06 = 1,338.60/x
  3. Step 3: Cross multiply
    1,954.18x = 2,930.06 × 1,338.60
  4. Step 4: Simplify right side
    1,954.18x = 3,922,178.32
  5. Step 5: Solve for x
    x = 3,922,178.32/1,954.18
  6. Step 6: Final answer
    x = 2,007.07

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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.