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Finding the Fourth Proportional to 1,659, 2,289.44 and 923

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Solution

The fourth proportional to 1,659, 2,289.44 and 923 is: 1,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659 : 2,289.44 = 923 : x
  2. Step 2: Convert to fraction form
    1,659/2,289.44 = 923/x
  3. Step 3: Cross multiply
    1,659x = 2,289.44 × 923
  4. Step 4: Simplify right side
    1,659x = 2,113,153.12
  5. Step 5: Solve for x
    x = 2,113,153.12/1,659
  6. Step 6: Final answer
    x = 1,273.75

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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.