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Finding the Fourth Proportional to 1,669.66, 2,304.15 and 923.64

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Solution

The fourth proportional to 1,669.66, 2,304.15 and 923.64 is: 1,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.66 : 2,304.15 = 923.64 : x
  2. Step 2: Convert to fraction form
    1,669.66/2,304.15 = 923.64/x
  3. Step 3: Cross multiply
    1,669.66x = 2,304.15 × 923.64
  4. Step 4: Simplify right side
    1,669.66x = 2,128,206.25
  5. Step 5: Solve for x
    x = 2,128,206.25/1,669.66
  6. Step 6: Final answer
    x = 1,274.63

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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.