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Finding the Fourth Proportional to 1,721.52, 2,375.70 and 935.58

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Solution

The fourth proportional to 1,721.52, 2,375.70 and 935.58 is: 1,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.52 : 2,375.70 = 935.58 : x
  2. Step 2: Convert to fraction form
    1,721.52/2,375.70 = 935.58/x
  3. Step 3: Cross multiply
    1,721.52x = 2,375.70 × 935.58
  4. Step 4: Simplify right side
    1,721.52x = 2,222,657.41
  5. Step 5: Solve for x
    x = 2,222,657.41/1,721.52
  6. Step 6: Final answer
    x = 1,291.10

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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.