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Finding the Fourth Proportional to 4,166.60, 6,245.10 and 1,700.20

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Solution

The fourth proportional to 4,166.60, 6,245.10 and 1,700.20 is: 2,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.60 : 6,245.10 = 1,700.20 : x
  2. Step 2: Convert to fraction form
    4,166.60/6,245.10 = 1,700.20/x
  3. Step 3: Cross multiply
    4,166.60x = 6,245.10 × 1,700.20
  4. Step 4: Simplify right side
    4,166.60x = 10,617,919.02
  5. Step 5: Solve for x
    x = 10,617,919.02/4,166.60
  6. Step 6: Final answer
    x = 2,548.34

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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.