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Finding the Fourth Proportional to 1,696.52, 2,341 and 950.52

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Solution

The fourth proportional to 1,696.52, 2,341 and 950.52 is: 1,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.52 : 2,341 = 950.52 : x
  2. Step 2: Convert to fraction form
    1,696.52/2,341 = 950.52/x
  3. Step 3: Cross multiply
    1,696.52x = 2,341 × 950.52
  4. Step 4: Simplify right side
    1,696.52x = 2,225,167.32
  5. Step 5: Solve for x
    x = 2,225,167.32/1,696.52
  6. Step 6: Final answer
    x = 1,311.61

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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.