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Finding the Fourth Proportional to 1,694.66, 2,338.65 and 948.69

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Solution

The fourth proportional to 1,694.66, 2,338.65 and 948.69 is: 1,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.66 : 2,338.65 = 948.69 : x
  2. Step 2: Convert to fraction form
    1,694.66/2,338.65 = 948.69/x
  3. Step 3: Cross multiply
    1,694.66x = 2,338.65 × 948.69
  4. Step 4: Simplify right side
    1,694.66x = 2,218,653.87
  5. Step 5: Solve for x
    x = 2,218,653.87/1,694.66
  6. Step 6: Final answer
    x = 1,309.20

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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.