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Finding the Fourth Proportional to 1,694.79, 2,338.83 and 948.81

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Solution

The fourth proportional to 1,694.79, 2,338.83 and 948.81 is: 1,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.79 : 2,338.83 = 948.81 : x
  2. Step 2: Convert to fraction form
    1,694.79/2,338.83 = 948.81/x
  3. Step 3: Cross multiply
    1,694.79x = 2,338.83 × 948.81
  4. Step 4: Simplify right side
    1,694.79x = 2,219,114.06
  5. Step 5: Solve for x
    x = 2,219,114.06/1,694.79
  6. Step 6: Final answer
    x = 1,309.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.