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Finding the Fourth Proportional to 4,166.40, 6,249.20 and 1,701.44

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Solution

The fourth proportional to 4,166.40, 6,249.20 and 1,701.44 is: 2,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.40 : 6,249.20 = 1,701.44 : x
  2. Step 2: Convert to fraction form
    4,166.40/6,249.20 = 1,701.44/x
  3. Step 3: Cross multiply
    4,166.40x = 6,249.20 × 1,701.44
  4. Step 4: Simplify right side
    4,166.40x = 10,632,638.85
  5. Step 5: Solve for x
    x = 10,632,638.85/4,166.40
  6. Step 6: Final answer
    x = 2,552.00

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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.