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Finding the Fourth Proportional to 1,721.10, 2,375.10 and 935.13

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Solution

The fourth proportional to 1,721.10, 2,375.10 and 935.13 is: 1,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.10 : 2,375.10 = 935.13 : x
  2. Step 2: Convert to fraction form
    1,721.10/2,375.10 = 935.13/x
  3. Step 3: Cross multiply
    1,721.10x = 2,375.10 × 935.13
  4. Step 4: Simplify right side
    1,721.10x = 2,221,027.26
  5. Step 5: Solve for x
    x = 2,221,027.26/1,721.10
  6. Step 6: Final answer
    x = 1,290.47

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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.