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Finding the Fourth Proportional to 3,120, 4,681.02 and 2,183.92

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Solution

The fourth proportional to 3,120, 4,681.02 and 2,183.92 is: 3,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 4,681.02 = 2,183.92 : x
  2. Step 2: Convert to fraction form
    3,120/4,681.02 = 2,183.92/x
  3. Step 3: Cross multiply
    3,120x = 4,681.02 × 2,183.92
  4. Step 4: Simplify right side
    3,120x = 10,222,973.20
  5. Step 5: Solve for x
    x = 10,222,973.20/3,120
  6. Step 6: Final answer
    x = 3,276.59

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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.