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Finding the Fourth Proportional to 3,128.86, 4,694.25 and 1,666.91

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Solution

The fourth proportional to 3,128.86, 4,694.25 and 1,666.91 is: 2,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.86 : 4,694.25 = 1,666.91 : x
  2. Step 2: Convert to fraction form
    3,128.86/4,694.25 = 1,666.91/x
  3. Step 3: Cross multiply
    3,128.86x = 4,694.25 × 1,666.91
  4. Step 4: Simplify right side
    3,128.86x = 7,824,860.46
  5. Step 5: Solve for x
    x = 7,824,860.46/3,128.86
  6. Step 6: Final answer
    x = 2,500.87

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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.