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Finding the Fourth Proportional to 2,052.34, 2,832.15 and 1,120.84

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Solution

The fourth proportional to 2,052.34, 2,832.15 and 1,120.84 is: 1,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.34 : 2,832.15 = 1,120.84 : x
  2. Step 2: Convert to fraction form
    2,052.34/2,832.15 = 1,120.84/x
  3. Step 3: Cross multiply
    2,052.34x = 2,832.15 × 1,120.84
  4. Step 4: Simplify right side
    2,052.34x = 3,174,387.01
  5. Step 5: Solve for x
    x = 3,174,387.01/2,052.34
  6. Step 6: Final answer
    x = 1,546.72

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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.