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Finding the Fourth Proportional to 1,696.32, 2,340.95 and 950.20

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Solution

The fourth proportional to 1,696.32, 2,340.95 and 950.20 is: 1,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.32 : 2,340.95 = 950.20 : x
  2. Step 2: Convert to fraction form
    1,696.32/2,340.95 = 950.20/x
  3. Step 3: Cross multiply
    1,696.32x = 2,340.95 × 950.20
  4. Step 4: Simplify right side
    1,696.32x = 2,224,370.69
  5. Step 5: Solve for x
    x = 2,224,370.69/1,696.32
  6. Step 6: Final answer
    x = 1,311.29

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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.