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Finding the Fourth Proportional to 1,715.62, 2,367.75 and 969.61

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Solution

The fourth proportional to 1,715.62, 2,367.75 and 969.61 is: 1,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.62 : 2,367.75 = 969.61 : x
  2. Step 2: Convert to fraction form
    1,715.62/2,367.75 = 969.61/x
  3. Step 3: Cross multiply
    1,715.62x = 2,367.75 × 969.61
  4. Step 4: Simplify right side
    1,715.62x = 2,295,794.08
  5. Step 5: Solve for x
    x = 2,295,794.08/1,715.62
  6. Step 6: Final answer
    x = 1,338.17

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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.