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Finding the Fourth Proportional to 1,669.68, 2,304.30 and 923.82

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Solution

The fourth proportional to 1,669.68, 2,304.30 and 923.82 is: 1,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.68 : 2,304.30 = 923.82 : x
  2. Step 2: Convert to fraction form
    1,669.68/2,304.30 = 923.82/x
  3. Step 3: Cross multiply
    1,669.68x = 2,304.30 × 923.82
  4. Step 4: Simplify right side
    1,669.68x = 2,128,758.43
  5. Step 5: Solve for x
    x = 2,128,758.43/1,669.68
  6. Step 6: Final answer
    x = 1,274.95

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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.