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Finding the Fourth Proportional to 3,130.92, 4,696.38 and 1,183.68

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Solution

The fourth proportional to 3,130.92, 4,696.38 and 1,183.68 is: 1,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.92 : 4,696.38 = 1,183.68 : x
  2. Step 2: Convert to fraction form
    3,130.92/4,696.38 = 1,183.68/x
  3. Step 3: Cross multiply
    3,130.92x = 4,696.38 × 1,183.68
  4. Step 4: Simplify right side
    3,130.92x = 5,559,011.08
  5. Step 5: Solve for x
    x = 5,559,011.08/3,130.92
  6. Step 6: Final answer
    x = 1,775.52

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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.