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Finding the Fourth Proportional to 4,120.37, 6,182.13 and 1,655.90

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Solution

The fourth proportional to 4,120.37, 6,182.13 and 1,655.90 is: 2,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.37 : 6,182.13 = 1,655.90 : x
  2. Step 2: Convert to fraction form
    4,120.37/6,182.13 = 1,655.90/x
  3. Step 3: Cross multiply
    4,120.37x = 6,182.13 × 1,655.90
  4. Step 4: Simplify right side
    4,120.37x = 10,236,958.16
  5. Step 5: Solve for x
    x = 10,236,958.16/4,120.37
  6. Step 6: Final answer
    x = 2,484.48

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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.