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Finding the Fourth Proportional to 1,669.05, 2,303.27 and 923.00

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Solution

The fourth proportional to 1,669.05, 2,303.27 and 923.00 is: 1,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.05 : 2,303.27 = 923.00 : x
  2. Step 2: Convert to fraction form
    1,669.05/2,303.27 = 923.00/x
  3. Step 3: Cross multiply
    1,669.05x = 2,303.27 × 923.00
  4. Step 4: Simplify right side
    1,669.05x = 2,125,923.69
  5. Step 5: Solve for x
    x = 2,125,923.69/1,669.05
  6. Step 6: Final answer
    x = 1,273.73

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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.