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Finding the Fourth Proportional to 2,783.70, 3,841.83 and 1,604.81

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Solution

The fourth proportional to 2,783.70, 3,841.83 and 1,604.81 is: 2,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.70 : 3,841.83 = 1,604.81 : x
  2. Step 2: Convert to fraction form
    2,783.70/3,841.83 = 1,604.81/x
  3. Step 3: Cross multiply
    2,783.70x = 3,841.83 × 1,604.81
  4. Step 4: Simplify right side
    2,783.70x = 6,165,416.81
  5. Step 5: Solve for x
    x = 6,165,416.81/2,783.70
  6. Step 6: Final answer
    x = 2,214.83

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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.