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Finding the Fourth Proportional to 2,518.31, 3,777.37 and 763.25

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Solution

The fourth proportional to 2,518.31, 3,777.37 and 763.25 is: 1,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.31 : 3,777.37 = 763.25 : x
  2. Step 2: Convert to fraction form
    2,518.31/3,777.37 = 763.25/x
  3. Step 3: Cross multiply
    2,518.31x = 3,777.37 × 763.25
  4. Step 4: Simplify right side
    2,518.31x = 2,883,056.86
  5. Step 5: Solve for x
    x = 2,883,056.86/2,518.31
  6. Step 6: Final answer
    x = 1,144.84

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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.