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Finding the Fourth Proportional to 4,199.85, 6,298.36 and 1,700.39

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Solution

The fourth proportional to 4,199.85, 6,298.36 and 1,700.39 is: 2,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.85 : 6,298.36 = 1,700.39 : x
  2. Step 2: Convert to fraction form
    4,199.85/6,298.36 = 1,700.39/x
  3. Step 3: Cross multiply
    4,199.85x = 6,298.36 × 1,700.39
  4. Step 4: Simplify right side
    4,199.85x = 10,709,679.86
  5. Step 5: Solve for x
    x = 10,709,679.86/4,199.85
  6. Step 6: Final answer
    x = 2,550.01

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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.