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Finding the Fourth Proportional to 3,181.94, 4,770.03 and 1,129.46

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Solution

The fourth proportional to 3,181.94, 4,770.03 and 1,129.46 is: 1,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.94 : 4,770.03 = 1,129.46 : x
  2. Step 2: Convert to fraction form
    3,181.94/4,770.03 = 1,129.46/x
  3. Step 3: Cross multiply
    3,181.94x = 4,770.03 × 1,129.46
  4. Step 4: Simplify right side
    3,181.94x = 5,387,558.08
  5. Step 5: Solve for x
    x = 5,387,558.08/3,181.94
  6. Step 6: Final answer
    x = 1,693.17

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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.