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Finding the Fourth Proportional to 3,185.83, 4,397.70 and 2,006.68

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Solution

The fourth proportional to 3,185.83, 4,397.70 and 2,006.68 is: 2,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.83 : 4,397.70 = 2,006.68 : x
  2. Step 2: Convert to fraction form
    3,185.83/4,397.70 = 2,006.68/x
  3. Step 3: Cross multiply
    3,185.83x = 4,397.70 × 2,006.68
  4. Step 4: Simplify right side
    3,185.83x = 8,824,776.64
  5. Step 5: Solve for x
    x = 8,824,776.64/3,185.83
  6. Step 6: Final answer
    x = 2,770.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.