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Finding the Fourth Proportional to 1,669.72, 2,304.19 and 923.70

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Solution

The fourth proportional to 1,669.72, 2,304.19 and 923.70 is: 1,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.72 : 2,304.19 = 923.70 : x
  2. Step 2: Convert to fraction form
    1,669.72/2,304.19 = 923.70/x
  3. Step 3: Cross multiply
    1,669.72x = 2,304.19 × 923.70
  4. Step 4: Simplify right side
    1,669.72x = 2,128,380.30
  5. Step 5: Solve for x
    x = 2,128,380.30/1,669.72
  6. Step 6: Final answer
    x = 1,274.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.