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Finding the Fourth Proportional to 2,532.65, 3,799.37 and 1,071.81

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Solution

The fourth proportional to 2,532.65, 3,799.37 and 1,071.81 is: 1,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.65 : 3,799.37 = 1,071.81 : x
  2. Step 2: Convert to fraction form
    2,532.65/3,799.37 = 1,071.81/x
  3. Step 3: Cross multiply
    2,532.65x = 3,799.37 × 1,071.81
  4. Step 4: Simplify right side
    2,532.65x = 4,072,205.44
  5. Step 5: Solve for x
    x = 4,072,205.44/2,532.65
  6. Step 6: Final answer
    x = 1,607.89

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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.