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Finding the Fourth Proportional to 3,129.40, 4,695.90 and 1,181.80

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Solution

The fourth proportional to 3,129.40, 4,695.90 and 1,181.80 is: 1,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.40 : 4,695.90 = 1,181.80 : x
  2. Step 2: Convert to fraction form
    3,129.40/4,695.90 = 1,181.80/x
  3. Step 3: Cross multiply
    3,129.40x = 4,695.90 × 1,181.80
  4. Step 4: Simplify right side
    3,129.40x = 5,549,614.62
  5. Step 5: Solve for x
    x = 5,549,614.62/3,129.40
  6. Step 6: Final answer
    x = 1,773.38

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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.