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Finding the Fourth Proportional to 2,052.79, 3,080.82 and 1,065.89

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Solution

The fourth proportional to 2,052.79, 3,080.82 and 1,065.89 is: 1,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.79 : 3,080.82 = 1,065.89 : x
  2. Step 2: Convert to fraction form
    2,052.79/3,080.82 = 1,065.89/x
  3. Step 3: Cross multiply
    2,052.79x = 3,080.82 × 1,065.89
  4. Step 4: Simplify right side
    2,052.79x = 3,283,815.23
  5. Step 5: Solve for x
    x = 3,283,815.23/2,052.79
  6. Step 6: Final answer
    x = 1,599.68

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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.