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Finding the Fourth Proportional to 2,049.57, 2,828.65 and 1,165.51

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Solution

The fourth proportional to 2,049.57, 2,828.65 and 1,165.51 is: 1,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.57 : 2,828.65 = 1,165.51 : x
  2. Step 2: Convert to fraction form
    2,049.57/2,828.65 = 1,165.51/x
  3. Step 3: Cross multiply
    2,049.57x = 2,828.65 × 1,165.51
  4. Step 4: Simplify right side
    2,049.57x = 3,296,806.76
  5. Step 5: Solve for x
    x = 3,296,806.76/2,049.57
  6. Step 6: Final answer
    x = 1,608.54

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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.