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Finding the Fourth Proportional to 3,132.48, 4,697.64 and 1,080

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Solution

The fourth proportional to 3,132.48, 4,697.64 and 1,080 is: 1,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.48 : 4,697.64 = 1,080 : x
  2. Step 2: Convert to fraction form
    3,132.48/4,697.64 = 1,080/x
  3. Step 3: Cross multiply
    3,132.48x = 4,697.64 × 1,080
  4. Step 4: Simplify right side
    3,132.48x = 5,073,451.20
  5. Step 5: Solve for x
    x = 5,073,451.20/3,132.48
  6. Step 6: Final answer
    x = 1,619.63

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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.