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Finding the Fourth Proportional to 1,721.99, 2,375.96 and 975.78

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Solution

The fourth proportional to 1,721.99, 2,375.96 and 975.78 is: 1,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.99 : 2,375.96 = 975.78 : x
  2. Step 2: Convert to fraction form
    1,721.99/2,375.96 = 975.78/x
  3. Step 3: Cross multiply
    1,721.99x = 2,375.96 × 975.78
  4. Step 4: Simplify right side
    1,721.99x = 2,318,414.25
  5. Step 5: Solve for x
    x = 2,318,414.25/1,721.99
  6. Step 6: Final answer
    x = 1,346.36

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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.