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Finding the Fourth Proportional to 2,177.07, 3,265.60 and 927.34

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Solution

The fourth proportional to 2,177.07, 3,265.60 and 927.34 is: 1,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.07 : 3,265.60 = 927.34 : x
  2. Step 2: Convert to fraction form
    2,177.07/3,265.60 = 927.34/x
  3. Step 3: Cross multiply
    2,177.07x = 3,265.60 × 927.34
  4. Step 4: Simplify right side
    2,177.07x = 3,028,321.50
  5. Step 5: Solve for x
    x = 3,028,321.50/2,177.07
  6. Step 6: Final answer
    x = 1,391.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.