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Finding the Fourth Proportional to 3,129.53, 4,695.10 and 1,181.75

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Solution

The fourth proportional to 3,129.53, 4,695.10 and 1,181.75 is: 1,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.53 : 4,695.10 = 1,181.75 : x
  2. Step 2: Convert to fraction form
    3,129.53/4,695.10 = 1,181.75/x
  3. Step 3: Cross multiply
    3,129.53x = 4,695.10 × 1,181.75
  4. Step 4: Simplify right side
    3,129.53x = 5,548,434.43
  5. Step 5: Solve for x
    x = 5,548,434.43/3,129.53
  6. Step 6: Final answer
    x = 1,772.93

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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.