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Finding the Fourth Proportional to 2,906.19, 4,358.68 and 957.94

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Solution

The fourth proportional to 2,906.19, 4,358.68 and 957.94 is: 1,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.19 : 4,358.68 = 957.94 : x
  2. Step 2: Convert to fraction form
    2,906.19/4,358.68 = 957.94/x
  3. Step 3: Cross multiply
    2,906.19x = 4,358.68 × 957.94
  4. Step 4: Simplify right side
    2,906.19x = 4,175,340.63
  5. Step 5: Solve for x
    x = 4,175,340.63/2,906.19
  6. Step 6: Final answer
    x = 1,436.71

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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.