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Finding the Fourth Proportional to 2,001.66, 2,760.90 and 1,836.42

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Solution

The fourth proportional to 2,001.66, 2,760.90 and 1,836.42 is: 2,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.66 : 2,760.90 = 1,836.42 : x
  2. Step 2: Convert to fraction form
    2,001.66/2,760.90 = 1,836.42/x
  3. Step 3: Cross multiply
    2,001.66x = 2,760.90 × 1,836.42
  4. Step 4: Simplify right side
    2,001.66x = 5,070,171.98
  5. Step 5: Solve for x
    x = 5,070,171.98/2,001.66
  6. Step 6: Final answer
    x = 2,532.98

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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.