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Finding the Fourth Proportional to 1,669.76, 2,304.77 and 997.84

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Solution

The fourth proportional to 1,669.76, 2,304.77 and 997.84 is: 1,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.76 : 2,304.77 = 997.84 : x
  2. Step 2: Convert to fraction form
    1,669.76/2,304.77 = 997.84/x
  3. Step 3: Cross multiply
    1,669.76x = 2,304.77 × 997.84
  4. Step 4: Simplify right side
    1,669.76x = 2,299,782.24
  5. Step 5: Solve for x
    x = 2,299,782.24/1,669.76
  6. Step 6: Final answer
    x = 1,377.31

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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.