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Finding the Fourth Proportional to 3,129.60, 4,693.14 and 1,180.74

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Solution

The fourth proportional to 3,129.60, 4,693.14 and 1,180.74 is: 1,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.60 : 4,693.14 = 1,180.74 : x
  2. Step 2: Convert to fraction form
    3,129.60/4,693.14 = 1,180.74/x
  3. Step 3: Cross multiply
    3,129.60x = 4,693.14 × 1,180.74
  4. Step 4: Simplify right side
    3,129.60x = 5,541,378.12
  5. Step 5: Solve for x
    x = 5,541,378.12/3,129.60
  6. Step 6: Final answer
    x = 1,770.63

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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.