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Finding the Fourth Proportional to 1,721.98, 2,376.44 and 965.82

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Solution

The fourth proportional to 1,721.98, 2,376.44 and 965.82 is: 1,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.98 : 2,376.44 = 965.82 : x
  2. Step 2: Convert to fraction form
    1,721.98/2,376.44 = 965.82/x
  3. Step 3: Cross multiply
    1,721.98x = 2,376.44 × 965.82
  4. Step 4: Simplify right side
    1,721.98x = 2,295,213.28
  5. Step 5: Solve for x
    x = 2,295,213.28/1,721.98
  6. Step 6: Final answer
    x = 1,332.89

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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.