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Finding the Fourth Proportional to 1,821.32, 2,731.55 and 780.83

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Solution

The fourth proportional to 1,821.32, 2,731.55 and 780.83 is: 1,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.32 : 2,731.55 = 780.83 : x
  2. Step 2: Convert to fraction form
    1,821.32/2,731.55 = 780.83/x
  3. Step 3: Cross multiply
    1,821.32x = 2,731.55 × 780.83
  4. Step 4: Simplify right side
    1,821.32x = 2,132,858.62
  5. Step 5: Solve for x
    x = 2,132,858.62/1,821.32
  6. Step 6: Final answer
    x = 1,171.05

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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.