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Finding the Fourth Proportional to 2,534.55, 3,801.48 and 685.83

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Solution

The fourth proportional to 2,534.55, 3,801.48 and 685.83 is: 1,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.55 : 3,801.48 = 685.83 : x
  2. Step 2: Convert to fraction form
    2,534.55/3,801.48 = 685.83/x
  3. Step 3: Cross multiply
    2,534.55x = 3,801.48 × 685.83
  4. Step 4: Simplify right side
    2,534.55x = 2,607,169.03
  5. Step 5: Solve for x
    x = 2,607,169.03/2,534.55
  6. Step 6: Final answer
    x = 1,028.65

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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.