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Finding the Fourth Proportional to 4,131.99, 6,195.86 and 1,666.15

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Solution

The fourth proportional to 4,131.99, 6,195.86 and 1,666.15 is: 2,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.99 : 6,195.86 = 1,666.15 : x
  2. Step 2: Convert to fraction form
    4,131.99/6,195.86 = 1,666.15/x
  3. Step 3: Cross multiply
    4,131.99x = 6,195.86 × 1,666.15
  4. Step 4: Simplify right side
    4,131.99x = 10,323,214.57
  5. Step 5: Solve for x
    x = 10,323,214.57/4,131.99
  6. Step 6: Final answer
    x = 2,498.36

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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.