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Finding the Fourth Proportional to 4,166.60, 6,249.89 and 1,700.87

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Solution

The fourth proportional to 4,166.60, 6,249.89 and 1,700.87 is: 2,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.60 : 6,249.89 = 1,700.87 : x
  2. Step 2: Convert to fraction form
    4,166.60/6,249.89 = 1,700.87/x
  3. Step 3: Cross multiply
    4,166.60x = 6,249.89 × 1,700.87
  4. Step 4: Simplify right side
    4,166.60x = 10,630,223.41
  5. Step 5: Solve for x
    x = 10,630,223.41/4,166.60
  6. Step 6: Final answer
    x = 2,551.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.