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Finding the Fourth Proportional to 1,721.20, 2,375.23 and 935.24

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Solution

The fourth proportional to 1,721.20, 2,375.23 and 935.24 is: 1,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.20 : 2,375.23 = 935.24 : x
  2. Step 2: Convert to fraction form
    1,721.20/2,375.23 = 935.24/x
  3. Step 3: Cross multiply
    1,721.20x = 2,375.23 × 935.24
  4. Step 4: Simplify right side
    1,721.20x = 2,221,410.11
  5. Step 5: Solve for x
    x = 2,221,410.11/1,721.20
  6. Step 6: Final answer
    x = 1,290.62

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1.5x scale

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.