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Finding the Fourth Proportional to 1,823.01, 2,732.80 and 1,377.60

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Solution

The fourth proportional to 1,823.01, 2,732.80 and 1,377.60 is: 2,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.01 : 2,732.80 = 1,377.60 : x
  2. Step 2: Convert to fraction form
    1,823.01/2,732.80 = 1,377.60/x
  3. Step 3: Cross multiply
    1,823.01x = 2,732.80 × 1,377.60
  4. Step 4: Simplify right side
    1,823.01x = 3,764,691.62
  5. Step 5: Solve for x
    x = 3,764,691.62/1,823.01
  6. Step 6: Final answer
    x = 2,065.10

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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.