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Finding the Fourth Proportional to 2,057.79, 2,841.08 and 1,836.36

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Solution

The fourth proportional to 2,057.79, 2,841.08 and 1,836.36 is: 2,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.79 : 2,841.08 = 1,836.36 : x
  2. Step 2: Convert to fraction form
    2,057.79/2,841.08 = 1,836.36/x
  3. Step 3: Cross multiply
    2,057.79x = 2,841.08 × 1,836.36
  4. Step 4: Simplify right side
    2,057.79x = 5,217,236.49
  5. Step 5: Solve for x
    x = 5,217,236.49/2,057.79
  6. Step 6: Final answer
    x = 2,535.36

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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.