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Finding the Fourth Proportional to 3,129.26, 4,693.40 and 1,049.30

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Solution

The fourth proportional to 3,129.26, 4,693.40 and 1,049.30 is: 1,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.26 : 4,693.40 = 1,049.30 : x
  2. Step 2: Convert to fraction form
    3,129.26/4,693.40 = 1,049.30/x
  3. Step 3: Cross multiply
    3,129.26x = 4,693.40 × 1,049.30
  4. Step 4: Simplify right side
    3,129.26x = 4,924,784.62
  5. Step 5: Solve for x
    x = 4,924,784.62/3,129.26
  6. Step 6: Final answer
    x = 1,573.79

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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.