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Finding the Fourth Proportional to 2,062.79, 3,094.20 and 676.23

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Solution

The fourth proportional to 2,062.79, 3,094.20 and 676.23 is: 1,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.79 : 3,094.20 = 676.23 : x
  2. Step 2: Convert to fraction form
    2,062.79/3,094.20 = 676.23/x
  3. Step 3: Cross multiply
    2,062.79x = 3,094.20 × 676.23
  4. Step 4: Simplify right side
    2,062.79x = 2,092,390.87
  5. Step 5: Solve for x
    x = 2,092,390.87/2,062.79
  6. Step 6: Final answer
    x = 1,014.35

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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.