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Finding the Fourth Proportional to 1,747.52, 2,620.73 and 577.31

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Solution

The fourth proportional to 1,747.52, 2,620.73 and 577.31 is: 865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.52 : 2,620.73 = 577.31 : x
  2. Step 2: Convert to fraction form
    1,747.52/2,620.73 = 577.31/x
  3. Step 3: Cross multiply
    1,747.52x = 2,620.73 × 577.31
  4. Step 4: Simplify right side
    1,747.52x = 1,512,973.64
  5. Step 5: Solve for x
    x = 1,512,973.64/1,747.52
  6. Step 6: Final answer
    x = 865.78

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