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Finding the Fourth Proportional to 1,669.88, 2,304.32 and 923.70

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Solution

The fourth proportional to 1,669.88, 2,304.32 and 923.70 is: 1,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.88 : 2,304.32 = 923.70 : x
  2. Step 2: Convert to fraction form
    1,669.88/2,304.32 = 923.70/x
  3. Step 3: Cross multiply
    1,669.88x = 2,304.32 × 923.70
  4. Step 4: Simplify right side
    1,669.88x = 2,128,504.41
  5. Step 5: Solve for x
    x = 2,128,504.41/1,669.88
  6. Step 6: Final answer
    x = 1,274.64

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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.