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Finding the Fourth Proportional to 2,034.20, 3,052.06 and 864.56

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Solution

The fourth proportional to 2,034.20, 3,052.06 and 864.56 is: 1,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.20 : 3,052.06 = 864.56 : x
  2. Step 2: Convert to fraction form
    2,034.20/3,052.06 = 864.56/x
  3. Step 3: Cross multiply
    2,034.20x = 3,052.06 × 864.56
  4. Step 4: Simplify right side
    2,034.20x = 2,638,688.99
  5. Step 5: Solve for x
    x = 2,638,688.99/2,034.20
  6. Step 6: Final answer
    x = 1,297.16

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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.