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Finding the Fourth Proportional to 3,130.88, 4,697.04 and 1,183.12

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Solution

The fourth proportional to 3,130.88, 4,697.04 and 1,183.12 is: 1,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.88 : 4,697.04 = 1,183.12 : x
  2. Step 2: Convert to fraction form
    3,130.88/4,697.04 = 1,183.12/x
  3. Step 3: Cross multiply
    3,130.88x = 4,697.04 × 1,183.12
  4. Step 4: Simplify right side
    3,130.88x = 5,557,161.96
  5. Step 5: Solve for x
    x = 5,557,161.96/3,130.88
  6. Step 6: Final answer
    x = 1,774.95

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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.