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Finding the Fourth Proportional to 4,165.68, 6,250.14 and 1,701.66

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Solution

The fourth proportional to 4,165.68, 6,250.14 and 1,701.66 is: 2,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.68 : 6,250.14 = 1,701.66 : x
  2. Step 2: Convert to fraction form
    4,165.68/6,250.14 = 1,701.66/x
  3. Step 3: Cross multiply
    4,165.68x = 6,250.14 × 1,701.66
  4. Step 4: Simplify right side
    4,165.68x = 10,635,613.23
  5. Step 5: Solve for x
    x = 10,635,613.23/4,165.68
  6. Step 6: Final answer
    x = 2,553.15

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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.