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Finding the Fourth Proportional to 3,188.58, 4,783.64 and 1,108.28

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Solution

The fourth proportional to 3,188.58, 4,783.64 and 1,108.28 is: 1,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.58 : 4,783.64 = 1,108.28 : x
  2. Step 2: Convert to fraction form
    3,188.58/4,783.64 = 1,108.28/x
  3. Step 3: Cross multiply
    3,188.58x = 4,783.64 × 1,108.28
  4. Step 4: Simplify right side
    3,188.58x = 5,301,612.54
  5. Step 5: Solve for x
    x = 5,301,612.54/3,188.58
  6. Step 6: Final answer
    x = 1,662.69

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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.