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Finding the Fourth Proportional to 3,076.86, 4,615.37 and 1,102.63

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Solution

The fourth proportional to 3,076.86, 4,615.37 and 1,102.63 is: 1,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.86 : 4,615.37 = 1,102.63 : x
  2. Step 2: Convert to fraction form
    3,076.86/4,615.37 = 1,102.63/x
  3. Step 3: Cross multiply
    3,076.86x = 4,615.37 × 1,102.63
  4. Step 4: Simplify right side
    3,076.86x = 5,089,016.83
  5. Step 5: Solve for x
    x = 5,089,016.83/3,076.86
  6. Step 6: Final answer
    x = 1,653.96

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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.