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Finding the Fourth Proportional to 4,126.40, 6,184.20 and 1,659.20

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Solution

The fourth proportional to 4,126.40, 6,184.20 and 1,659.20 is: 2,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.40 : 6,184.20 = 1,659.20 : x
  2. Step 2: Convert to fraction form
    4,126.40/6,184.20 = 1,659.20/x
  3. Step 3: Cross multiply
    4,126.40x = 6,184.20 × 1,659.20
  4. Step 4: Simplify right side
    4,126.40x = 10,260,824.64
  5. Step 5: Solve for x
    x = 10,260,824.64/4,126.40
  6. Step 6: Final answer
    x = 2,486.63

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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.