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Finding the Fourth Proportional to 2,062.53, 3,094.08 and 675.96

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Solution

The fourth proportional to 2,062.53, 3,094.08 and 675.96 is: 1,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.53 : 3,094.08 = 675.96 : x
  2. Step 2: Convert to fraction form
    2,062.53/3,094.08 = 675.96/x
  3. Step 3: Cross multiply
    2,062.53x = 3,094.08 × 675.96
  4. Step 4: Simplify right side
    2,062.53x = 2,091,474.32
  5. Step 5: Solve for x
    x = 2,091,474.32/2,062.53
  6. Step 6: Final answer
    x = 1,014.03

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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.