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Finding the Fourth Proportional to 2,080.72, 2,870.23 and 1,333.83

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Solution

The fourth proportional to 2,080.72, 2,870.23 and 1,333.83 is: 1,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.72 : 2,870.23 = 1,333.83 : x
  2. Step 2: Convert to fraction form
    2,080.72/2,870.23 = 1,333.83/x
  3. Step 3: Cross multiply
    2,080.72x = 2,870.23 × 1,333.83
  4. Step 4: Simplify right side
    2,080.72x = 3,828,398.88
  5. Step 5: Solve for x
    x = 3,828,398.88/2,080.72
  6. Step 6: Final answer
    x = 1,839.94

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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.