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Finding the Fourth Proportional to 2,906.07, 4,358.49 and 957.81

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Solution

The fourth proportional to 2,906.07, 4,358.49 and 957.81 is: 1,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.07 : 4,358.49 = 957.81 : x
  2. Step 2: Convert to fraction form
    2,906.07/4,358.49 = 957.81/x
  3. Step 3: Cross multiply
    2,906.07x = 4,358.49 × 957.81
  4. Step 4: Simplify right side
    2,906.07x = 4,174,605.31
  5. Step 5: Solve for x
    x = 4,174,605.31/2,906.07
  6. Step 6: Final answer
    x = 1,436.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.